Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension

Abstract

Recently a new three-dimensional theory of gravity, dubbed Exotic Massive Gravity, was proposed as a unitary theory both in the bulk as well as in the dual CFT. This is the second simplest example, the first being Minimal Massive Gravity. Since the divergence of the field equations vanishes on-shell, Exotic Massive Gravity has third-way consistency. Here we show how to compute mass and angular momentum in this theory, and then implement our result in various solutions, both for generic values of the couplings as well as at chiral points of the theory. For the latter, the asymptotic AdS behaviour is relaxed and the metric acquires logarithmic terms, which may lead to a logarithmic CFT in the boundary. Remarkably, even in the presence of this relaxed asymptotic behaviour, the charges turn out to be finite, defining non-linear solutions of what could be called Exotic Log Gravity.

References in corpus (47)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Black Hole Entropy from Near-Horizon Microstates
• Massive Gravity in Three Dimensions
• Energy in Generic Higher Curvature Gravity Theories
• Chiral Gravity in Three Dimensions
• More on Massive 3D Gravity
• Chiral Gravity, Log Gravity and Extremal CFT
• Lifshitz Black Hole in Three Dimensions
• Cosmological Topologically Massive Gravitons and Photons
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• Warped AdS_3 black holes in new massive gravity
• Minimal Massive 3D Gravity
• Note on New Massive Gravity in $Ad{S}_3$
• Energy in Topologically Massive Gravity
• Bending AdS Waves with New Massive Gravity
• New Energy Definition for Higher Curvature Gravities
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
• Three-dimensional Chern-Simons black holes
• New massive gravity, extended
• Mass and angular momentum of asymptotically AdS or flat solutions in the topologically massive gravity
• On the Generalized Massive Gravity in $Ad{S}_3$
• Black holes with a null Killing vector in three-dimensional massive gravity
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Black Holes in Three Dimensional Topological Gravity
• Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity
• First law and anisotropic Cardy formula for three-dimensional Lifshitz black holes
• Charged Black Holes in New Massive Gravity
• Exotic Massive 3D Gravity
• Warped black holes in 3D general massive gravity
• Minimal Massive Gravity: Conserved Charges, Excitations and the Chiral Gravity Limit
• The Third Way to 3D Gravity
• Black holes in New Massive Gravity dressed by a (non)minimally coupled scalar field
• Type D Solutions of 3D New Massive Gravity
• Minimal Log Gravity
• Covariant Symplectic Structure and Conserved Charges of Topologically Massive Gravity
• All stationary axi-symmetric local solutions of topologically massive gravity
• Homogeneous vacua of (generalized) new massive gravity
• Bachian Gravity in Three Dimensions
• Kundt spacetimes of massive gravity in three dimensions
• Vacua of Exotic Massive 3D Gravity
• Topologically massive gravity on AdS${}_2$ spacetimes
• Black-hole dynamics in BHT massive gravity
• More on vacua of exotic massive 3D gravity
• On-shell versus Off-shell Equivalence in 3D Gravity
• Do all identically conserved geometric tensors come from actions? A status report

Cited by in corpus (8)

• Exotic massive 3D gravities from truncation
• On asymptotic charges in 3D gravity
• More on vacua of exotic massive 3D gravity
• Unitary Extension of Exotic Massive 3D Gravity from Bi-gravity
• Holographic Entanglement Entropy in $T\bar{T}$-deformed CFTs
• Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models
• Exotic Massive Gravity: Causality and a Birkhoff-like Theorem
• Critical points of the Exotic Massive 3D Gravity