Quasilocal Energy and Conserved Charges Derived from the Gravitational Action

Abstract

The quasilocal energy of gravitational and matter fields in a spatially bounded region is obtained by employing a Hamilton-Jacobi analysis of the action functional. First, a surface stress-energy-momentum tensor is defined by the functional derivative of the action with respect to the three-metric on ${}^{3}B$, the history of the system's boundary. Energy density, momentum density, and spatial stress are defined by projecting the surface stress tensor normally and tangentially to a family of spacelike two-surfaces that foliate ${}^{3}B$. The integral of the energy density over such a two-surface $B$ is the quasilocal energy associated with a spacelike three-surface $\Sigma$ whose intersection with ${}^{3}B$ is the boundary $B$. The resulting expression for quasilocal energy is given in terms of the total mean curvature of the spatial boundary $B$ as a surface embedded in $\Sigma$. The quasilocal energy is also the value of the Hamiltonian that generates unit magnitude proper time translations on ${}^{3}B$ in the direction orthogonal to $B$. Conserved charges such as angular momentum are defined using the surface stress tensor and Killing vector fields on ${}^{3}B$. For spacetimes that are asymptotically flat in spacelike directions, the quasilocal energy and angular momentum defined here agree with the results of Arnowitt-Deser-Misner in the limit that the boundary tends to spatial infinity. For spherically symmetric spacetimes, it is shown that the quasilocal energy has the correct Newtonian limit, and includes a negative contribution due to gravitational binding.

35 pages, plain TeX. Two figures available upon request ([email protected])

References in corpus (1)

• The Microcanonical Functional Integral. I. The Gravitational Field

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• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Aspects of the zero $\Lambda$ limit in the AdS/CFT correspondence
• Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
• Action and Hamiltonian for eternal black holes
• Zeta(n) via hyperbolic functions
• Spectroscopy of Rotating Linear Dilaton Black Holes From Boxed Quasinormal Modes
• Entropy from the foam
• First law of black hole thermodynamics and Smarr formula with a cosmological constant
• S-branes and (Anti-)Bubbles in (A)dS Space
• New Near Horizon Limit in Kerr/CFT
• On the Boundary Dynamics of Chern-Simons Gravity
• Robin Gravity
• Polarised Black Holes in AdS
• Probing foamy spacetime with Variational Methods
• Hairy Black Hole Chemistry
• Obstruction Tensors in Weyl Geometry and Holographic Weyl Anomaly
• Thermodynamics of Charged Brans-Dicke AdS Black Holes
• Energy Distribution in f(R) Gravity
• Teleparallel Energy-Momentum Distribution of Static Axially Symmetric Spacetimes
• Evading no-hair theorems: hairy black holes in a Minkowski box
• Gravitational Statistical Mechanics: A model
• On the energy of charged black holes in generalized dilaton-axion gravity
• Some remarks on the Einstein and Møller pseudotensors for static and spherically-symmetric configurations
• Nonlinear Perturbations and Conservation Laws on Curved Backgrounds in GR and Other Metric Theories
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• The initial boundary value problem and quasi-local Hamiltonians in General Relativity
• Effect of the Refractive Index on the Hawking Temperature: An Application of the Hamilton-Jacobi Method
• Fluid/Gravity Correspondence For General Non-rotating Black Holes
• Black branes on the linear dilaton background
• The mass of asymptotically anti-de Sitter space-times
• A quasilocal calculation of tidal heating
• New variables, the gravitational action, and boosted quasilocal stress-energy-momentum
• Black Hole Pair Creation and the Entropy Factor
• Rotating Black Holes in Einstein-Maxwell-Dilaton Gravity
• Dilaton minimally coupled to 2 + 1 Einstein Maxwell fields; stationary cyclic symmetric black holes
• N-Dimensional non-abelian dilatonic, stable black holes and their Born-Infeld extension
• Non-equilibrium thermodynamics near the horizon and holography
• Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory
• Gravity/CFT correspondence for three dimensional Einstein gravity with a conformal scalar field
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity
• Entropy of thin shells in a (2+1)-dimensional asymptotically AdS spacetime and the BTZ black hole limit
• Information Geometry on the Space of Equilibrium States of Black Holes in Higher Derivative Theories
• Asymptotic Symmetries from finite boxes
• Comments on Charges and Near-Horizon Data of Black Rings
• Surface Terms of Quasitopological Gravity and Thermodynamics of Charged Rotating Black Branes
• Spacetime as a quantum circuit
• Thermodynamics of Taub-NUT Black Holes in Einstein-Maxwell Gravity
• New Hamiltonian formalism and quasi-local conservation equations of general relativity
• Thermodynamics of Dual CFTs for Kerr-AdS Black Holes
• On the supersymmetry invariance of flat supergravity with boundary
• Gravitational Energy-Momentum Density in Bianchi Type-II Space-times
• The Constraints in Spherically Symmetric General Relativity I --- Optical Scalars, Foliations, Bounds on the Configuration Space Variables and the Positivity of the Quasi-Local Mass
• Fix the dual geometries of $T\bar{T}$ deformed CFT${}_2$ and highly excited states of CFT${}_2$
• Non-equilibrium thermodynamics of gravitational screens
• Rotating nonuniform black string solutions
• Holographic Renormalization and Stress Tensors in New Massive Gravity
• Renormalization of conformal infinity as a stretched horizon
• ADM mass and quasilocal energy of black hole in the deformed Hořava-Lifshitz gravity
• Regular Compact Objects with Scalar Hair
• On the energy of Hořava-Lifshitz black holes
• Noether and Abbott-Deser-Tekin conserved quantities in scalar-tensor theory of gravity both in Jordan and Einstein frames
• Lovelock black holes with non-constant curvature horizon
• Behavior of Quasilocal Mass Under Conformal Transformations
• Exploring Non-perturbative Corrections in Thermodynamics of Static Dirty Black Holes
• Gravitational energy in stationary spacetimes
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Alternative approach to the critical behavior and microscopic structure of the power-Maxwell black holes
• Magnetic solutions to 2+1 dimensional gravity with dilaton field
• Critical behaviour of Lifshitz dilaton black holes
• The Entropy of Taub-Bolt Solution
• Do we know the mass of a black hole? Mass of some cosmological black hole models
• The dilaton gravity hologram of double-scaled SYK
• Scalar Field Contribution to Rotating Black Hole Entropy
• The Three-Dimensional BTZ Black Hole as a Cylindrical System in Four-Dimensional General Relativity
• Topological Black Holes of Einstein-Yang-Mills dilaton Gravity
• Absorption Cross-section and Decay Rate of Rotating Linear Dilaton Black Holes
• Joule-Thomson expansion of the quasitopological black holes
• Dilatonic Entropic Force
• Energy-Momentum Distribution: Some Examples
• Non-Spherically Symmetric Collapse in Asymptotically AdS Spacetimes
• Holography of 3D Asymptotically Flat Black Holes
• Boundary Terms Unbound! Holographic Renormalization of Asymptotically Linear Dilaton Gravity
• AdS and dS black hole solutions in analogue gravity: The relativistic and non-relativistic cases
• Energy Localization Invariance of Tidal Work in General Relativity
• Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity
• Horizon Surface Gravity in Corotating Black Hole Binaries
• Asymptotically Schroedinger Space-Times: TsT Transformations and Thermodynamics
• A Lensing-Band Approach to Spacetime Constraints
• The postulates of gravitational thermodynamics
• On the Thermodynamics of Goedel Black Holes
• A holographic principle for the existence of parallel spinor fields and an inequality of Shi-Tam type
• Moeller's Energy-Momentum Complex for a Spacetime Geometry on a Noncommutative Curved D3-Brane
• Covariant Charges in Chern-Simons AdS_3 Gravity
• Surface Terms of Quartic Quasitopological Gravity and Thermodynamics of Nonlinear Charged Rotating Black Branes
• Metastability of R-Charged Black Holes
• First order flow for non-extremal AdS black holes and mass from holographic renormalization
• Stress Tensor on Null Boundaries
• Rotating black strings in $f(R)$-Maxwell theory
• Kerr-Newman Black Hole Entropy and Soft Hair
• Electric-magnetic Duality and Deformations of Three-Dimensional CFT's
• Scale-invariant rotating black holes in quadratic gravity
• The Kiselev solution in power-Maxwell electrodynamics
• On the energy of gravitational waves
• Entropy of Constant Curvature Black Holes in General Relativity
• Rindler/Contracted-CFT Correspondence
• On the UV dimensions of Loop Quantum Gravity
• Analytical studies of Hawking radiation and quasinormal modes in rotating linear dilatonic black hole
• On quasi-local Hamiltonians in General Relativity
• Membrane paradigm for Einstein-Gauss-Bonnet gravity
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• Some Result on Cosmological and Astrophysical Horizons and Trapped Surfaces
• Conformal boundary conditions, loop gravity and the continuum
• Global embeddings of scalar-tensor theories in (2+1)-dimensions
• Constraining the loop quantum gravity parameter space from phenomenology
• Hamiltonian, Energy and Entropy in General Relativity with Non-Orthogonal Boundaries
• Celestial Geometry
• Conserved charges of black holes in Weyl and Einstein-Gauss-Bonnet gravities
• Conserved charges, surface degrees of freedom, and black hole entropy
• Conserved quantities and Virasoro algebra in New massive gravity
• On the Thermodynamics of 5D Black Holes on ALF Gravitational Instantons
• The Brown-York mass and the Thorne hoop conjecture
• Asymptotically flat charged rotating dilaton black holes in higher dimensions
• New Massive Gravity Domain Walls
• Charged-rotating black holes and black strings in higher dimensional Einstein-Maxwell theory with a positive cosmological constant
• Quantum BMS transformations in conformally flat space-times and holography
• Charged-Rotating Black Holes in Higher-dimensional (A)DS-Gravity
• A simple expression for the ADM mass
• Real-time Dynamics of Plasma Balls from Holography
• $\mathcal{N}=2$ AdS${}_4$ supergravity, holography and Ward identities
• Holographic Renormalization Group with Fermions and Form Fields
• Counterterms in Massive Gravity Theory
• On the first law of black holes with a universal horizon
• Strings in Noncompact Spacetimes: Boundary Terms and Conserved Charges
• New Geometries for Black Hole Horizons
• Center of mass integral in canonical general relativity
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Energy extraction from AdS black holes via superradiance
• Time flat surfaces and the monotonicity of the spacetime Hawking mass
• Rotating charged black hole with Weyl corrections
• Entropy Function and Universal Entropy of Two-Dimensional Extremal Black Holes
• Holographic Renormalization of Gravity in Little String Theory Duals
• Entropy of causal diamond ensembles
• Generalized AdS-Lorentz deformed supergravity on a manifold with boundary
• Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
• Flat-Space Holography and Stress Tensor of Kerr Black Hole
• Momentum in General Relativity: Local versus Quasilocal Conservation Laws
• Improved Wald formalism and First Law of Dyonic Black Strings with Mixed Chern-Simons Terms
• An improved derivation of the Smarr Formula for Lorentz-breaking gravity
• Three dimensional dilatonic gravity's rainbow: exact solutions
• Lorentz-diffeomorphism Conserved Charges And Virasoro Algebra In Chern-Simons-Like Theories Of Gravity
• Vacuum Degeneracy and Conformal Mass in Lovelock AdS Gravity
• Gravitational Energy of Kerr and Kerr Anti-de Sitter Space-times in the Teleparallel Geometry
• Covariant canonical formulations of classical field theories
• Another positivity proof and gravitational energy localizations
• A Holographic Interpretation of Asymptotically de Sitter Spacetimes
• Gravity-mediated holography in fluid dynamics
• Topological excitations around the vacuum of quantum gravity I: The symmetries of the vacuum
• Unpolarized radiative cylindrical spacetimes: Trapped surfaces and quasilocal energy
• Chemistry and Complexity for Solitons in AdS${}_5$
• 2+1 dimensional charged black hole with (anti-)self dual Maxwell fields
• More on general $p$-brane solutions
• Total mean curvature, scalar curvature, and a variational analog of Brown-York mass
• Formation of dynamically transversely trapping surfaces and the stretched hoop conjecture
• A Young-Laplace law for black hole horizons
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• Entropy of extremal black holes: horizon limits through charged thin shells, a unified approach
• Hawking radiation of asymptotically non-flat dyonic black holes in Einstein-Maxwell-dilaton gravity
• Holography as a highly efficient RG flow I: Rephrasing gravity
• Energy Distribution of the Universe in the Bianchi type II Cosmological Models
• Gravitational Energy, Local Holography and Non-equilibrium Thermodynamics
• Boundary Conditions and Quasilocal Energy in the Canonical Formulation of All 1+1 Models of Gravity
• Vacuum Energy, Variational Methods and the Casimir Energy
• AdS_5 Black Holes with Fermionic Hair
• Spectral dimension with deformed spacetime signature
• Critical points of Wang-Yau quasi-local energy
• Hamiltonian thermodynamics of two-dimensional vacuum dilatonic black holes
• Magnetic dilaton strings in anti-de Sitter spaces
• Boundary conditions in first order gravity: Hamiltonian and Ensemble
• A prototype for dS/CFT
• Gravitational and Gravitoscalar Thermodynamics
• The Weiss Variation of the Gravitational Action
• Energy Distribution in a Schwarzschild-like Spacetime
• Gravitational $SL(2,\mathbb{R})$ Algebra on the Light Cone
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• A quasilocal Hamiltonian for gravity with classical and quantum applications
• Thermodynamics in Loop Quantum Cosmology
• New classes of black hole spacetimes in 2+1 gravity
• Quasi-Local Energy in Loop Quantum Gravity
• On the thermodynamics of hairy black holes
• Freelance Holography, Part I: Setting Boundary Conditions Free in Gauge/Gravity Correspondence
• Quasilocal Conservation Laws: Why We Need Them
• Boundary conditions from boundary terms, Noether charges and the trace K lagrangian in general relativity
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• Capacity, quasi-local mass, and singular fill-ins
• Gravitational energy is well defined
• Charged rotating black holes in dilaton gravity
• Spinning Charged Solutions in 2+1 Dimensional Einstein-Maxwell-Dilaton Gravity
• Black hole thermodynamics with the cosmological constant as independent variable: Bridge between the enthalpy and the Euclidean path integral approaches
• Topological AdS black holes surrounded by Chaplygin dark fluid: from stability to geometrothermodynamic analysis
• Global Vortex and Black Cosmic String
• New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory
• Brown-York mass and the hoop conjecture in non-spherical massive systems
• Rotating Yang-Mills dyons in anti-de Sitter spacetime
• Charge screening by thin-shells in a 2+1-dimensional regular black hole
• Shear Waves, Sound Waves On A Shimmering Horizon
• Rotating black string in dRGT massive gravity
• Unambiguous Phase Spaces for Subregions
• The Holographic Dual of the Entanglement Wedge Symplectic Form
• Conserved Charges in Even Dimensional Asymptotically locally Anti-de Sitter Space-times
• On a class of 2-surface observables in general relativity
• Optimal Choices of Reference for Quasi-local Energy
• Dyonically Charged Black Holes Arising in Generalized Born--Infeld Theory of Electromagnetism
• The gravitational Hamiltonian, first order action, Poincaré charges and surface terms
• Sparling two-forms, the conformal factor and the gravitational energy density of the teleparallel equivalent of general relativity
• A new class of plane symmetric solution
• Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature
• Global monopoles, cosmological constant and maximal mass conjecture
• The Brown-Henneaux's central charge from the path-integral boundary condition
• On the structure of asymptotically de Sitter and anti-de Sitter spaces
• Exact Black Hole and Cosmological Solutions in a Two-Dimensional Dilaton-Spectator Theory of Gravity
• Topological and Time Dependence of the Action-Complexity Relation
• Goursat's Problem and the Holographic Principle
• Noether currents and charges for Maxwell-like Lagrangians
• Higher Dimensional Charged Rotating Dilaton Black Holes
• The non-zero energy of 2+1 Minkowski space
• Asymptotic symmetries of AdS2 Branes
• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• Breakdown of the Equal Area Law for Holographic Entanglement Entropy
• From path integrals to the Wheeler-DeWitt equation: Time evolution in spacetimes with a spatial boundary
• Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term
• On Black Ring with a Positive Cosmological Constant
• Thermodynamics of Taub-NUT/Bolt-AdS Black Holes in Einstein-Gauss-Bonnet Gravity
• Spacetimes with Longitudinal and Angular Magnetic Fields in Third Order Lovelock Gravity
• Black Hole Thermodynamics and Hamilton-Jacobi Counterterm
• Nonextreme black holes near the extreme state and acceleration horizons: thermodynamics and quantum-corrected geometry
• Generalized Navier-Stokes equations and soft hairy horizons in fluid/gravity correspondence
• Conserved charges in timelike Warped-AdS${}_3$ spaces
• A Note on Circular Geodesics and Phase Transitions of Black Holes
• Holographic Renormalization of Einstein-Maxwell-Dilaton Theories
• The Cardy-Verlinde Formula and Asymptotically de Sitter Brane Universe
• Entanglement Thermodynamics of the Generalized Charged BTZ Black Hole
• The definition of mass in asymptotically de Sitter space-times
• Weiss variation for general boundaries
• Compact objects in general relativity: From Buchdahl stars to quasiblack holes
• Cardy-Verlinde Formula in Taub-NUT/Bolt-(A)dS space
• Quasinormal modes of charged fermions in linear dilaton black hole spacetime: Exact frequencies
• Toward Higher Spin dS3/CFT2
• Classical Limit of Large N Gauge Theories with Conformal Symmetry
• Charged rotating dilaton black branes in AdS universe
• Einstein-Bumblebee-Dilaton black hole solution
• Black String in Massive Gravity
• Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity
• On second variation of Wang-Yau quasi-local energy
• Brown-York Energy and Radial Geodesics
• Hartle-Hawking state and its factorization in 3d gravity
• Toward an Effective CFT${}_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation
• Corner symmetry and quantum geometry
• First Law of Entanglement Entropy in Flat-Space Holography
• On certain quasi-local spin-angular momentum expressions for small spheres
• Comments on Joint Terms in Gravitational Action
• Polarised Black Holes in ABJM
• Hydrodynamic Regimes of Spinning Black D3-Branes
• Conserved non-Noether charge in general relativity: Physical definition vs. Noether's 2nd theorem
• Celestial amplitude for 2d theory
• Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential: the general case
• Tetrad Fields, Reference Frames, and the Gravitational Energy-Momentum in the Teleparallel Equivalent of General Relativity
• Fluid/gravity correspondence for massive gravity
• On the Cardy-Verlinde Formula and the de Sitter/CFT Correspondence
• Canonical Phase Space Formulation of Quasilocal General Relativity
• Energy-Momentum of the Friedmann Models in General Relativity and Teleparallel Theory of Gravity
• The Stability of Asymmetric Cylindrical Thin-Shell Wormholes
• Energy of general 4-dimensional stationary axisymmetric spacetime in the teleparallel geometry
• On certain quasi-local spin-angular momentum expressions for large spheres near the null infinity
• Dyonic branes and linear dilaton background
• Hamiltonian perturbation theory in f(R) gravity
• Space Noncommutativity Corrections to the Cardy-Verlinde Formula
• Cosmological applications of the Brown-York quasilocal mass
• Dirty black hole supported by a uniform electric field in Einstein-Nonlinear Electrodynamics-Dilaton theory
• Quasilocal energy for rotating charged black hole solutions in general relativity and string theory
• Stationary untrapped boundary conditions in general relativity
• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes
• Pair creation of anti-de Sitter black holes on a cosmic string background
• Quasi-Local Conservation Equations in General Relativity
• Stationary Scalar Clouds Around Maximally Rotating Linear Dilaton Black Holes
• Quasi-Local Energy of a Charged Rotating Object Described by the Kerr-Newman Metric
• Holographic renormalization of Horndeski gravity
• Spinors and the reference point of quasilocal energy
• Phase transitions of neutral planar hairy AdS black holes
• Dynamical probe of thermodynamical properties in three-dimensional hairy AdS black holes
• Dyonic Matter Equations, Exact Point-Source Solutions, and Charged Black Holes in Generalized Born--Infeld Theory
• Lorentzian Approach to Black Hole Thermodynamics in the Hamiltonian Formulation
• Supertranslations and Holographic Stress Tensor
• Viscous Asymptotically Flat Reissner-Nordström Black Branes
• A covariant approach to braneworld holography
• Black Hole Spin Axis in Numerical Relativity
• Cosmological Constant as a Free Thermodynamical Variable
• New Magnetized Squashed Black Holes -- Thermodynamics and Hawking Radiation
• Absorption Cross-Section and Decay Rate of Dilatonic Black Strings
• Path integral derivation of the Brown-Henneaux central charge
• Einstein-Yang-Mills black hole solutions in three dimensions
• Intrinsic vanishing of energy and momenta in a universe
• Poor man's holography: How far can it go?
• Motion of localized sources in general relativity: gravitational self-force from quasilocal conservation laws
• Energy-momentum Prescriptions in General Spherically Symmetric Space-times
• Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
• Energy for N-Body Motion in Two Dimensional Gravity
• Quasilocal Energy in FRW Cosmology
• Frame-independent holographic conserved charges
• Stirring a black hole
• Metriplectic geometry for gravitational subsystems
• Islands and Uhlmann phase: Explicit recovery of classical information from evaporating black holes
• dS${}_2$ as excitation of AdS${}_2$
• Energy Distribution of Black Plane Solutions
• The Boundary Multiplet of N=4 SU(2)xU(1) Gauged Supergravity on Asymptotically-AdS_5
• Approximate Killing Fields as an Eigenvalue Problem
• Charged rotating black strings in Einsteinian cubic gravity
• A Holographic Study of the $a$-theorem and RG Flow in General Quadratic Curvature Gravity
• Spacetime positive mass theorems for initial data sets with noncompact boundary
• Wheeler's It from Bit Proposal in Loop Quantum Gravity
• A physically-motivated quantisation of the electromagnetic field on curved spacetimes
• A tale of two derivatives: phase space symmetries and Noether charges in diffeomorphism invariant theories
• On the definition of mass in general relativity: Noether charges and conserved quantities in diffeomorphism invariant theories
• A topological charge of black holes
• Standard Cosmology on the Anti-de Sitter boundary
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• Black holes with halos
• Holographic fluid from nonminimally coupled scalar-tensor theory of gravity
• Extensions and fill-ins with nonnegative scalar curvature
• Numerical relativity in higher dimensions
• Effect of the cosmological constant in the Hawking radiation of 3D charged dilaton black hole
• Stability of Gauss-Bonnet black holes in Anti-de-Sitter space-time against scalar field condensation
• Nonlocal Massive Gravity from Einstein Gravity
• Black Holes and Marchenko-Pastur Distribution
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• Braneworld Isotropization and Magnetic Fields
• Gauge Invariant Derivation of Zeroth and First Laws of Black Hole Thermodynamics
• Yang-Mills black holes in Quasitopological gravity
• Exact holographic RG flows in extended SUGRA
• Gravitating $\sigma$ Model Solitons
• Observer dependence of the quasi-local energy and momentum in Schwarzschild space-time
• Quasilocal energy conditions
• Mean curvature flow and quasilocal mass for two-surfaces in Hamiltonian General Relativity
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Extremal Black Holes and Holographic C-Theorem
• Total Mass-Momentum of Arbitrary Initial-Data Sets in General Relativity
• Thermodynamics of charged rotating dilaton black branes coupled to logarithmic nonlinear electrodynamics
• Quasi-local Energy for Spherically Symmetric Spacetimes
• Fermionic Wigs for BTZ Black Holes
• A New Boundary Counterterm for Asymptotically AdS Spacetimes
• Junction Conditions and local Spacetimes in General Relativity
• General relativistic analogs of Poisson's equation and gravitational binding energy
• Einstein-Maxwell Dirichlet walls, negative kinetic energies, and the adiabatic approximation for extreme black holes
• Canonical Structure of Field Theories with Boundaries and Applications to Gauge Theories
• Entropy from the foam II
• On Gravitational Entropy of de Sitter Universe
• Charged Black Cosmic String
• A Komar-like integral for mass and angular momentum of asymptotically AdS black holes in Einstein gravity
• Physical and thermodynamic properties of quartic quasitopological black holes and rotating black branes with nonlinear source
• Gravitational energy, gravitational pressure, and the thermodynamics of a charged black hole in teleparallel gravity
• Leading Higher Derivative Corrections to Multipole Moments of Kerr-Newman Black Hole
• Deconstruction and Holography
• Codimension Two Holography
• Geometric Inequalities for Quasi-Local Masses
• Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism
• Can Martinez's conjecture be extended to string theory?
• Quasilocal Energy for Spin-net Gravity
• On the black hole species (by means of natural selection)
• Boundary stress tensor and asymptotically AdS3 non-Einstein spaces at the chiral point
• Black String and Gödel type Solutions of Chern-Simons Modified Gravity
• Superradiance and black resonator strings encounter helical black strings
• Post-Newtonian Conservation Laws in Rigid Quasilocal Frames
• Black hole wavefunctions and microcanonical states
• General proof of (maximum) entropy principle in Lovelock gravity
• Conserved charges in (Lovelock) gravity in first order formalism
• Quasi-local conserved charges in Lorentz-diffeomorphism covariant theory of gravity
• Holographic equation of state in fluid/gravity duality
• Quasi-local energy with respect to a static spacetime
• First Law, Counterterms and Kerr-AdS_5 Black Holes
• Phase transitions and thermodynamic geometry of a Kerr-Newman black hole in a cavity
• Towards Holographic Quantum Energy Teleportation
• The generalization of the ADM gravitational energy-momentum
• Inflation in Flatland
• Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
• Radiation in Fluid/Gravity and the Flat Limit
• Quasi-local energy and ADM mass in pure Lovelock gravity
• Phase diagram of the charged black hole bomb system
• Some comments on the universal constant in DSR
• Membrane paradigm and entropy of black holes in the Euclidean action approach
• On Weyl's embedding problem in Riemannian manifolds
• Smarr Integral Formula of D-dimensional Stationary Spacetimes in Einstein-Æther-Maxwell Theroy
• Wang and Yau's Quasi-Local Energy for an Extreme Kerr Spacetime
• Charged dilatonic black holes in dilaton-massive gravity
• On the gravitational energy problem and the energy of photons
• Generalized boundary conditions in closed cosmologies
• Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
• A Fermi Model of Quantum Black Hole
• Gauss-Bonnet AdS planar and spherical black hole thermodynamics and holography
• Rindler Fluids from Gravitational Shockwaves
• Charged dilaton black hole with multiple Liouville potentials and gauge fields
• Optimal Choices of Reference for a Quasi-local Energy: Spherically Symmetric Spacetimes
• Mass of asymptotically flat $3$-manifolds with boundary
• Properties of Discrete Black Hole Hair
• An introduction to the mechanics of black holes
• Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes
• Conservation Laws on Riemann-Cartan, Lorentzian and Teleparallel Spacetimes
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• Spectroscopy of $z=0$ Lifshitz Black Hole
• Five-Dimensional Black Hole String Backgrounds and Brane Universe Acceleration
• Asymptotic Limit of Null Hypersurfaces
• Quasi-local energy and the choice of reference
• Slowly rotating black holes in the Einstein-Maxwell-scalar theory
• Rigidity and minimizing properties of quasi-local mass
• Geodesic structure of five-dimensional non-asymptotically flat 2-branes
• Black Hole Solutions and Pair Creation of Black Holes in Three, Four and Higher Dimensional Spacetimes
• Half-BPS Geometries and Thermodynamics of Free Fermions
• Conserved asymptotic charges for any massless particle
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Boson stars and solitons confined in a Minkowski box
• Holographic anomaly in 3d f(Ric) gravity
• Kodama-like Vector Fields in Axisymmetric Spacetimes
• Recent results in mathematical relativity
• Energy distribution of a regular black hole solution in Einstein-nonlinear electrodynamics
• An exact five dimensional Weyl-Geometry Gauss-Bonnet Black Hole
• Some lower estimates of ADM mass and Brown-York mass
• Chen-Nester-Tung quasi-local energy and Wang-Yau quasi-local mass
• Deformed Heisenberg charges in three-dimensional gravity
• Non-Commutativity of Effective Space-Time Coordinates and the Minimal Length
• Quasi-local conserved charges in General Relativity
• Horizon Mass Theorem
• Regular Charged Black Holes, Quasilocal Energy and Energy Conditions
• On Classical Equivalence Between Noncritical and Einstein Gravity : The AdS/CFT Perspectives
• Black holes from multiplets of scalar fields in 2+1- and 3+1-dimensions
• Two-spinor Formulation of First Order Gravity coupled to Dirac Fields
• On the covariant formulation of gauge theories with boundaries
• Boundary States and Black Hole Entropy
• Hamiltonians for Reduced Gravity
• Rotating Dilaton Solutions in 2+1 Dimensions
• Quasilocal energy and thermodynamic equilibrium conditions
• Four-dimensional anti-de Sitter black holes from a three-dimensional perspective: Full complexity
• Hamilton-Jacobi Approach to Holographic Renormalization of Massive Gravity
• External Energy Paradigm For Black Holes
• From Static to Cosmological Solutions of N=2 Supergravity
• Nambu-Goto equation from three-dimensional gravity
• New class of rotating perfect fluid black holes in three dimensional gravity
• The small sphere limit of quasilocal energy in higher dimensions along lightcone cuts
• Brown-York Energy in Spacetimes with Horizon
• Relativistic rotation curve for cosmological structures
• AdS${}_5$ rotating non-Abelian black holes
• Thermodynamics of 5D Charged Rotating Black Holes: A Counterterms Treatment
• The Kijowski--Liu--Yau quasi-local mass of the Kerr black hole horizon
• Charged rotating BTZ solution revisited: New coordinates and algebraic classifications
• Nonlinear Yang-Mills black holes
• Spacetime mappings of the Brown-York quasilocal energy
• Equivalence of Noether charge and Hilbert action boundary term formulas for the black hole entropy in $F(R_{abcd})$ gravity theory
• Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics
• Gravitational entropy and thermodynamics away from the horizon
• Boundary Conditions for Constraint Systems in Variational Principle
• Exact flavored black $p$-branes and self-gravitating instantons from toroidal black holes with Skyrme hair
• Beyond quantum chaos in emergent dual holography
• Note on conserved currents in static Conformal Killing Gravity
• Linear responses of D0-branes via gauge/gravity correspondence
• Variational Effect of Boundary Mean Curvature on ADM Mass in General Relativity
• Corners of gravity: the case of gravity as a constrained BF theory
• On the Fill-in of Nonnegative Scalar Curvature Metrics
• Shear-free gravitational collapse is strongly censored
• Outer entropy = Bartnik-Bray inner mass, and the gravitational ant conjecture
• Quasilocal Smarr relations for static black holes
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• Four lectures on quasi-local mass
• A point mass and continuous collapse to a point mass in general relativity
• Higher dimensional charged static and rotating solutions in mimetic gravity
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Quasilocal energy and surface geometry of Kerr spacetime
• Affine quantization of Black Holes: thermodynamics, singularity removal and displaced horizons
• Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
• Rigidity of isometric immersions into the light cone
• Holographic Currents and Chern-Simons Terms
• Geodesic Motions in 2+1 Dimensional Charged Black Holes
• On the symmetry of $T\bar{T}$ deformed CFT
• Boundary behaviors and scalar curvature of compact manifolds
• Quasilocal conservation laws in cosmology: a first look
• The meaning of torsion in teleparallel theories
• Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-singular Black Hole Space-time Geometry
• Spherical and planar three-dimensional anti-de Sitter black holes
• Constant curvature black holes in Einstein AdS gravity: conserved quantities
• Universal stress-tensor correlation functions of strongly coupled conformal fluids
• Observational Constraints on the Cosmology with Holographic Dark Fluid
• The Invisibility of Diffeomorphisms
• 2D quantum dilaton gravitational Hamiltonian, boundary terms and new definition for total energy
• NNSC-Cobordism of Bartnik Data in High Dimensions
• Energy of cosmological spacetimes and perturbations: a quasilocal approach
• Aspects of Quasi-local energy for gravity coupled to gauge fields
• An instability of the Reissner-Nordstrom solution and new hairy black holes in d=5 dimensions
• A New Phase Transition Related to the Black Hole's Topological Charge
• Boundary Conditions for NHEK through Effective Action Approach
• Mass in cosmological perspective
• Deriving the Cosmological Constant and Nature's Constants from SU(3) Confinement Volume
• Black holes of the Vaidya type with flat and (A)dS asymptotics as point particles
• Properties of Quasi-local mass in binary black hole mergers
• Isometric embeddings of 2-spheres by embedding flow for applications in numerical relativity
• Three-dimensional slowly rotating black hole in Einstein-power-Maxwell theory
• Pseudo-topological Quasi-local Energy of Torsion Gravity
• Weighing the Black Hole via Quasi-local Energy
• Holographic pressure and volume for black holes
• A note on mass-minimising extensions
• The relative energy of homogeneous and isotropic universes from variational principles
• Cosmology in symmetric teleparallel gravity and its dynamical system
• Quasi-Local Mass near the Singularity, the Event Horizon and the Null Infinity of Black Hole Spacetimes
• Localized thermal states and negative energy
• Quantum Gravity and the Holographic Principle
• Kalb-Ramond field, black holes and black strings in (2 + 1)D
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• Conserved quantities for black hole solutions in pure Lovelock gravity
• Condensates beyond the horizons
• Spin-compatible construction of a consistent quantum gravity model from minimum information
• Perspectives on geometric analysis
• Adiabatic Isometric Mapping Algorithm for Embedding 2-Surfaces in Euclidean 3-Space
• Gravitational Pressure, apparent horizon and thermodynamics of FLRW universe in the teleparallel gravity
• Anisotropic critical points from holography
• Boundary Conditions, Energies and Gravitational Heat in General Relativity (a Classical Analysis)
• On A Quasi-local Mass
• Hamiltonians for a general dilaton gravity theory on a spacetime with a non-orthogonal, timelike or spacelike outer boundary
• New asymptotically (Anti)-de Sitter black holes in (super)gravity
• Flat-space Holography and Correlators of Robinson-Trautman Stress tensor
• Dihedral rigidity for cubic initial data sets
• Quasi-local mass in the covariant Newtonian space-time
• Thermodynamics of Asymptotically Flat Dyonic Black Holes
• A note on the post-Newtonian limit of quasi-local energy expressions
• A Dual CFT for Schwarzschild Black Hole
• On the super-energy radiative gravitational fields
• Quasilocal Energy in Kerr Spacetime
• Quasi-Local Energy of a Rotating Object Described by Kerr Spacetime
• A quasi-local mass for 2-spheres with negative Gauss curvature
• Asymptotic symmetry algebra of conformal gravity
• Gravitational systems in asymptotically anti-de Sitter space-times
• On energy for accelerating observers in black hole spacetimes
• Gravitational energy of a magnetized Schwarzschild black hole - a teleparallel approach
• On Hawking mass and Bartnik mass of CMC surfaces
• Holographic complexity of Born-Infeld gravity
• Ultimate fate of apparent horizons during a binary black hole merger I: Locating and understanding axisymmetric marginally outer trapped surfaces
• A density-responsive scalar-field framework for singularity regularization and dynamical dark energy
• Energy Momentum Localization in Quantum Gravity
• Counterterm method and thermodynamics of Hairy Black Holes in a Vector-Tensor theory with Abelian gauge symmetry breaking
• Instability of BTZ black holes in parity-even massive gravity
• Quasi-local energy and Oppenheimer-Snyder collapse
• Quasi-local Energy in 3D Gravity with Torsion
• Conserved Quantities of harmonic asymptotic initial data sets
• Boundary terms and Brown-York quasi-local parameters for scalar-tensor theory: a study on both timelike and null hypersurfaces
• Kiselev black strings: the charged rotating solutions
• Duality mappings within three-dimensional nonlinear electrodynamics
• Extension of a theorem of Shi and Tam
• Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density
• Fermionic Corrections to Fluid Dynamics from BTZ Black Hole
• Gauge/gravity duality and jets in strongly coupled plasma
• A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime
• Analogy of space-time as an elastic medium -- Study of the perturbation tensor of the metric $h_{\mu \nu }$ through the prism of the analogy of the theory of elasticity -- Analysis and potential consequences
• Holographic non-computers
• Scalar curvature rigidity with a volume constraint
• Thin shell dynamics in Lovelock gravity
• Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula
• Non-abelian magnetic black strings versus black holes
• Generalized ADT charges and asymptotic symmetry algebra
• Weighing The Black Holes Of GW150914
• First Law and a Variational Principle for Static Asymptotically Randall-Sundrum Black Holes
• On long-time existence for the flow of static metrics with rotational symmetry
• Second-order mass estimates for static vacuum metrics with small Bartnik data
• Quasi-local mass integrals and the total mass
• Lattice Black Branes at Large $D$
• Energy and angular momentum in strong gravitating systems
• Quasilocal Corrections to Bondi's Mass-Loss Formula and Dynamical Horizons
• On the Bondi mass of Maxwell-Klein-Gordon spacetimes
• Extremally charged line
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
• Two quasi-local masses evaluated on surfaces with boundary
• Sen-Witten orthonormal three-frame and gravitational energy quasilocalization
• Black branes in flux compactifications
• On the Black Hole Acceleration in the C-metric Space-time
• Mapping AdS to dS spaces and back
• The fate of boundary terms in dimensional reductions
• Null Foliations of Spacetime and the Geometry of Black Hole Horizons
• Energy in critical collapse
• Some estimates of Wang-Yau quasilocal energy
• Teleparallel Gravitational Energy in the Gamma Metric
• Counterterms for Static Lovelock Solutions
• Energy spectrum of a quantum spacetime with boundary
• Quasi-local mass and the existence of horizons
• On limit behavior of quasi-local mass for ellipsoids at spatial infinity
• Notes on solution phase space and BTZ black hole
• Gravitational thermodynamics without the conformal factor problem: Partition functions and Euclidean saddles from Lorentzian Path Integrals
• Brown-York energy in stationary spacetimes
• Three Dimensional Black Hole in the Low Energy Heterotic String Theory
• Decline of the current quadrupole moment during the merger phase of binary black hole coalescence
• Neutron Stars in a Varying Speed of Light Theory
• Virasoro generators and the dS_3/CFT_2 correspondence
• Quasi-local mass at axially symmetric null infinity
• Some properties of the de Sitter black holes in three dimensional spacetime
• Particle interactions predicted from minimum information
• Scalar Clouds and Quasinormal Modes
• Relational de Sitter State Counting with an SU(3) Clock
• Termodinámica de agujeros negros y campos escalares
• Comments on Quantum Aspects of Three-Dimensional de Sitter Gravity
• Solenoid configurations and gravitational free energy of the AdS--Melvin spacetime
• The entropy of Taub-Bolt-AdS from an improved action principle
• Energy-momentum for a charged nonsingular black hole solution with a nonlinear mass function
• Uniformly Area Expanding Flows in Spacetimes
• Generalized Off-Shell ADT Conserved Charges in the Presence of Matter Chern-Simons Term
• 3-dimensional holographic trace anomaly from AdS/CFT correspondence
• Turnaround Radius for charged particles in the Reissner-Nordström deSitter spacetime
• The Schwarzschild/CFT Correspondence: Weyl Rescaled Case
• Gravitational Background of Alice-Vortices and R7-Branes
• Master equation as a radial constraint
• Stationary Vacuum Bubble in a Kerr-de Sitter Spacetime
• Quasilocal energy exchange and the null cone
• Phase transition in black holes
• Fluctuating Black Hole Horizons
• An improved derivation of minimum information quantum gravity
• Reconstructing the boundary of AdS from an infrared defect
• A New Quasi-local Mass and Positivity
• Energy, momentum, and center of mass in general relativity
• Black p-Branes versus black holes in non-asymptotically flat Einstein-Yang-Mills theory
• Critical points of WAdS/CFT and higher-curvature gravity
• Null hypersurface caustics and super-entropic black holes
• Jacobi's Action and the Density of States
• On a Liu--Yau type inequality for surfaces
• Black Hole Statistical Mechanics and The Angular Velocity Ensemble
• Classical and quantum analysis of an Einstein-Scalar solution in $2+1$ dimensions
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Lovelock black holes with double-logarithmic electrodynamics source
• On the behavior of quasi-local mass at the infinity along nearly round surfaces
• Analysis of Unbalanced Black Ring Solutions within the Quasilocal Formalism
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor
• Quasi-local spin-angular momentum and the construction of axial vector fields
• A generalization of Liu-Yau's quasi-local mass
• A Positive Quasilocal Mass for Causal Variational Principles
• The energy of the universe in the Bianchi type-II cosmological model
• The Structure of Space-Time Emerging from the Two-Superbody Problem in Chern Simons Supergravity
• Black Hole Entropy in General Relativity
• Tension term, interchange symmetry, and the analogy of energy and tension laws of the AdS soliton solution
• The Brown-York mass of revolution surface in asymptotically Schwarzschild manifold
• Thermodynamics of the 3-dimensional Einstein-Maxwell system
• Some Remarks on Wang-Yau Quasi-Local Mass
• Quasi-local definitions of energy in general relativity
• Energy and Hamiltonian in first order gravity
• Bartnik mass via vacuum extensions
• Pure gauge QCD and holography
• Quasi-local stress-tensor formalism and the Casimir effect
• Bootstrapping Boundaries and Branes
• Large-sphere and small-sphere limits of the Brown-York mass
• Compressible Fluids in the Membrane Paradigm: non-AdS Fluid/Gravity correspondences
• The infinite curvature limit of AdS/CFT
• On Brown-York mass and compactly conformal deformations of scalar curvature
• Post AdS/CFT
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
• Strong field behavior of Wang-Yau Quasi-local energy
• A non-dynamical approach for quantum gravity
• A remark on the quasilocal calculation of tidal heating: energy transfer through the quasilocal surface
• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes
• Poisson algebra of quasilocal angular momentum and its asymptotic limit
• Relative radial mass and rigidity of some warped product manifolds
• Quantum-Corrected Bondi Mass for 2D Hawking Radiation
• Rotating Black Holes in Three-Dimensional Horava Gravity Revisited
• On Isometric Embeddings into Anti-de Sitter Space-times
• Duality of Quasilocal Gravitational Energy and Charges with Non-orthogonal Boundaries
• On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds
• On the energy of Schwarzschild spacetime with the post-Newtonian approximation
• Cosmological Solutions, a New Wick-Rotation, and the First Law of Thermodynamics
• Quasi-local energy from a Minkowski reference
• The evolution of Brown-York quasilocal energy due to evolution of Lovelock gravity in a system of M0-branes
• Positivity of Brown-York mass with quasi-positive boundary data
• Penrose-Rindler equation and horizon thermodynamics of stationary black holes
• Energy Balance of a Boson Gas at Zero Temperature in Curved Spacetime
• On Acceleration in Three Dimensions
• On a spacetime positive mass theorem with corners
• Many phases in a hairy box in three dimensions
• Constructing higher dimensional exact black holes in Einstein-Maxwell-scalar-theory
• Hypersurface Anchored Variational Principle for General Relativity
• Aspects of Higher Spin Theories, Conformal Field Theories and Holography
• Generalized Field Theoretical Approach to General Relativity and Conserved Quantities in Anti-de Sitter Spacetimes
• ${\alpha }^{\prime }$-corrections to Near Extremal Dyonic Strings and Weak Gravity Conjecture
• Periapsis shift and deflection of light by hairy black holes
• A quantum theory of gravity
• Quailocal Formalism for Dilaton Gravity with Yang-Mills Fields
• Weyl-type solutions with multipolar scalar fields
• Agujeros Negros con Pelo y Dualidad AdS/CFT
• On the energy of a non-singular black hole solution satisfying the weak energy condition
• Gravity and its wonders: braneworlds and holography
• Holographic trace anomaly at finite temperature
• Positivity of quasi-local mass II
• Local gravitational energy in higher dimensions
• Recent Developments in the Penrose Conjecture
• A Poincaré formula for differential forms and applications
• Energy Momentum Tensor Correlators in Improved Holographic QCD
• Total mass and limits of quasi-local mass at future null infinity
• Report on GRG18, Session A3, Mathematical Studies of the Field Equations
• Analysis of some classical and quantum aspects of black holes
• Entropy Bound Derived from the New Thermodynamics on Holographic Screen
• An effective theory for higher-dimensional black holes and applications to metastable antibranes
• Note on the Conservation of Quasi-Local Energy in an Expanding Universe
• Dynamical Horizons and Black Hole Soft Hair
• Quasi-local mass at null infinity in Bondi-Sachs coordinates
• Quasilocal non-equilibrium dynamics of Φ-spinning black rings
• The Isometric Embedding Problem in a Null Cone
• Uniqueness of isometric immersions with the same mean curvature
• Remarks on the "New Redshift Interpretation"
• Hayward Quasilocal Energy of Tori
• AdS black holes in two-dimensional dilaton gravity and holography
• Gravitational energy in pp-wave spacetimes
• Electric and magnetic aspects of gravitational theories
• GR15 Workshop A3 --- Mathematical Studies of Field Equations --- A report
• General solutions in Chern-Simons gravity and $T\bar{T}$-deformations
• Near-Horizon Symmetries of Local Black Holes in General Relativity
• Radial canonical $\Lambda <0$ gravity
• Quasi-local energy and compactification
• (2+1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
• Black hole solutions of modified gravity theories
• Non-relativistic geometry of holographic screens
• Penrose quasi-local energy and Kerr-Schild metrics
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory