Quasilocal Formalism and Black Ring Thermodynamics

Abstract

The thermodynamical properties of a dipole black ring are derived using the quasilocal formalism. We find that the dipole charge appears in the first law in the same manner as a global charge. Using the Gibbs-Duhem relation, we also provide a non-trivial check of the entropy/area relationship for the dipole ring. A preliminary study of the thermodynamic stability indicates that the neutral ring is unstable to angular fluctuations.

10 pages, no figures; v2, expanded references, misprints corrected; v3: misprint corected in rel. (22); discussion unchanged

References in corpus (12)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• A rotating black ring in five dimensions
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• Charged Rotating Black Holes in 5d Einstein-Maxwell-(A)dS Gravity
• The Role of Dipole Charges in Black Hole Thermodynamics
• Counter-term charges generate bulk symmetries
• Complex Instantons and Charged Rotating Black Hole Pair Creation
• Expanding the Area of Gravitational Entropy
• Entropy of Thermally Excited Black Rings

Cited by in corpus (82)

• Black Holes in Higher Dimensions
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• The BMS/GCA correspondence
• Black Saturn
• Black Rings
• Holographic Renormalization of Asymptotically Flat Spacetimes
• Instabilities of Black Strings and Branes
• Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
• The Black Di-Ring: An Inverse Scattering Construction
• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• Exact asymptotically flat charged hairy black holes with a dilaton potential
• Stationary black holes and attractor mechanism
• Covariant Counterterms and Conserved Charges in Asymptotically Flat Spacetimes
• Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
• Dynamics and Stability of Black Rings
• Thermodynamic instability of rotating black holes
• CFT Duals for Attractor Horizons
• A Rotating Kaluza-Klein Black Hole with Squashed Horizons
• Relaxing the Parity Conditions of Asymptotically Flat Gravity
• Tunnelling through black rings
• Note on counterterms in asymptotically flat spacetimes
• Trace Anomaly and Counterterms in Designer Gravity
• Scalar charges and the first law of black hole thermodynamics
• Note on the First Law with p-form potentials
• Plasmarings as dual black rings
• Dilaton black holes with squashed horizons and their thermodynamics
• Magnetized black holes and black rings in the higher dimensional dilaton gravity
• Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed Horizons
• On the gravitational energy of the Kaluza Klein monopole
• On squashed black holes in Godel universes
• Quasilocal formalism and thermodynamics of asymptotically flat black objects
• Thermodynamics of Squashed Kaluza-Klein Black Holes and Black Strings -- A Comparison of Reference Backgrounds --
• Hawking Radiation of Black Rings from Anomalies
• Kaluza-Klein black holes with squashed horizons and $d=4$ superposed monopoles
• Black strings with negative cosmological constant: inclusion of electric charge and rotation
• Thermodynamical description of stationary, asymptotically flat solutions with conical singularities
• The first law of heterotic stringy black hole mechanics at zeroth order in alpha prime
• On Asymptotic Flatness and Lorentz Charges
• What is the dual of a dipole?
• Quasilocal equilibrium condition for black ring
• Uniqueness theorem for stationary black ring solution of $\sigma$-models in five dimensions
• Near the horizon of 5D black rings
• Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory
• Comments on Charges and Near-Horizon Data of Black Rings
• Rotating Black Holes in Einstein-Maxwell-Dilaton Gravity
• Rotating nonuniform black string solutions
• A doubly rotating black ring with dipole charge
• Hairy AdS Solitons
• Non-Supersymmetric Attractors in BI black holes
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• On the Thermodynamics of 5D Black Holes on ALF Gravitational Instantons
• Near horizon data and physical charges of extremal AdS black holes
• Magnetized Black Hole on Taub-Nut Instanton
• Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
• Generating dyonic solutions in 5D Einstein-dilaton gravity with antisymmetric forms and dyonic black rings
• Thermodynamics of five-dimensional static three-charge STU black holes with squashed horizons
• On the thermodynamics of hairy black holes
• On Black Ring with a Positive Cosmological Constant
• The non-zero energy of 2+1 Minkowski space
• Creation of a brane world with a bulk scalar field
• Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential: the general case
• Supersymmetric isolated horizons
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
• On the black hole species (by means of natural selection)
• Euclidean solutions in Einstein-Yang-Mills-dilaton theory
• $d\ge 5$ magnetized static, balanced black holes with $S^2\times S^{d-4}$ event horizon topology
• Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism
• Isolated horizons, p-form matter fields, topology and the black-hole/string correspondence principle
• Brane World Black Rings
• Nonholonomic Black Ring and Solitonic Solutions in Finsler and Extra Dimension Gravity Theories
• Thermodynamics of Asymptotically Flat Dyonic Black Holes
• Note on the thermodynamic stability of a black ring at quantum scales
• Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula
• Static four-charge squashed black hole in five-dimensional $STU-W^{2}U$ supergravity and its thermodynamics
• Analysis of Unbalanced Black Ring Solutions within the Quasilocal Formalism
• Termodinámica de agujeros negros y campos escalares
• A Simple Determination of the Thermodynamical Characteristics of the Weakly Charged, Very Thin Black Ring
• Periapsis shift and deflection of light by hairy black holes
• Quasilocal non-equilibrium dynamics of Φ-spinning black rings
• Electric and magnetic aspects of gravitational theories
• Extending the isolated horizon phase space to string-inspired gravity models
• Agujeros Negros con Pelo y Dualidad AdS/CFT