Consistent Boundary Conditions for New Massive Gravity in
arXiv:0903.2933 · doi:10.1088/1126-6708/2009/05/039
Abstract
In this note we study the boundary conditions for the new massive gravity theory in asymptotically spacetime. We find that the Brown-Henneaux boundary conditions are consistent with the new massive gravity for all any value of the mass parameter. At the critical point where the central charge vanishes, the conserved charges vanish, too. This provides further evidence that the theory may be trivial at the critical point under Brown-Henneaux boundary conditions. The log boundary conditions are also examined and we find that we can have three kinds of log boundary conditions for this new massive gravity theory, each of which could be consistent at the critical point, while for other value of the mass parameter, the log gravity boundary condition is not consistent.
18pages, no figure, version to appear in JHEP
References in corpus (18)
- Massive Gravity in Three Dimensions
- Warped AdS_3 Black Holes
- Surface charge algebra in gauge theories and thermodynamic integrability
- Chiral Gravity, Log Gravity and Extremal CFT
- Semi-classical central charge in topologically massive gravity
- Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
- Warped AdS_3 black holes in new massive gravity
- Note on New Massive Gravity in
- Asymptotically anti-de Sitter spacetimes in topologically massive gravity
- Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
- Canonical structure of topologically massive gravity with a cosmological constant
- A Simple Proof of the Chiral Gravity Conjecture
- Canonical analysis of cosmological topologically massive gravity at the chiral point
- Massive Gravity with Mass Term in Three Dimensions
- Comment on "Cosmological Topological Massive Gravitons and Photons"
- Can Hawking temperatures be negative ?
- BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal
- Notes on the Area Theorem
Cited by in corpus (71)
- Massive Gravity
- More on Massive 3D Gravity
- Lifshitz Black Hole in Three Dimensions
- New Boundary Conditions for AdS3
- On the new massive gravity and AdS/CFT
- On the z=4 Horava-Lifshitz Gravity
- BMS Particles in Three Dimensions
- Massive 3D Supergravity
- A Lifshitz Black Hole in Four Dimensional R^2 Gravity
- Bending AdS Waves with New Massive Gravity
- A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
- AdS_3/LCFT_2 - Correlators in New Massive Gravity
- On the Generalized Massive Gravity in
- Massive Higher Derivative Gravity in D-dimensional Anti-de Sitter Spacetimes
- AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
- Holographic applications of logarithmic conformal field theories
- Renormalizability of Massive Gravity in Three Dimensions
- Black holes with a null Killing vector in three-dimensional massive gravity
- Conformal Chern-Simons holography - lock, stock and barrel
- Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity
- Holographic Renormalization of New Massive Gravity
- AdS Black Hole Solutions in the Extended New Massive Gravity
- More on Massive 3D Supergravity
- More on New Massive Gravity: Exact Solutions
- Quasi Normal Modes for New Type Black Holes in New Massive Gravity
- Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
- The General Type N Solution of New Massive Gravity
- New Massive Gravity and AdS_4 counterterms
- Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity
- On higher derivative gravity, c-theorems and cosmology
- Conditions on holographic entangling surfaces in higher curvature gravity
- Three-Dimensional Tricritical Gravity
- Short-cut to new anomalies in gravity duals to logarithmic conformal field theories
- Type D Solutions of 3D New Massive Gravity
- Holographic Rényi entropy in AdS/LCFT correspondence
- Hamiltonian analysis of BHT massive gravity
- Central Charges in 2d Reduced Cosmological Massive Gravity
- On Critical Massive (Super)Gravity in adS3
- Holographic Renormalization and Stress Tensors in New Massive Gravity
- Dilaton gravity approach to three dimensional Lifshitz black hole
- Entanglement Entropy for Logarithmic Conformal Field Theory
- Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
- Extra gauge symmetries in BHT gravity
- What do non-relativistic CFTs tell us about Lifshitz spacetimes?
- Polycritical Gravities
- On Holographic Realization of Logarithmic GCA
- Logarithmic AdS Waves and Zwei-Dreibein Gravity
- Massive 3D Gravity Big-Bounce
- Noether-Wald energy in Critical Gravity
- Type N Spacetimes as Solutions of Extended New Massive Gravity
- Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity
- Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
- Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
- Nonlinear Dynamics of Parity-Even Tricritical Gravity in Three and Four Dimensions
- 2+1 Quantum Gravity with Barbero-Immirzi like parameter on Toric Spatial Foliation
- Hamiltonian formalism of Minimal Massive Gravity
- Thurston Geometries in Three-Dimensional New Massive Gravity
- Renormalizability of Topologically Massive Gravity
- Boundary stress tensor and asymptotically AdS3 non-Einstein spaces at the chiral point
- Non-linearly ghost-free higher curvature gravity
- Corrected entropy of the rotating black hole solution of the new massive gravity using the tunneling method and Cardy formula
- Spatially homogeneous Lifshitz black holes in five dimensional higher derivative gravity
- Stability of vacua in New Massive Gravity in different gauges
- Critical gravity in the Chern-Simons modified gravity
- Searching for AdS_3 waves and Asymptotically Lifshitz black holes in R^3-NMG
- New Bi-Gravity from New Massive Garvity
- Central charges from Thermodynamics method in 3D gravity
- 1/c deformations of AdS boundary conditions and the Dym hierarchy
- Quasilocal energy for three-dimensional massive gravity solutions with chiral deformations of AdS boundary conditions
- Cosmological New Massive Gravity and Galilean Conformal Algebra in 2-dimensions
- Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity