Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants

Abstract

We study exact solutions to Cosmological Topologically Massive Gravity (CTMG) coupled to Topologically Massive Electrodynamics (TME) at special values of the coupling constants. For the particular case of the so called chiral point lμ_G=1, vacuum solutions (with vanishing gauge field) are exhibited. These correspond to a one-parameter deformation of GR solutions, and are continuously connected to the extremal Bañados-Teitelboim-Zanelli black hole (BTZ) with bare constants J=-lM. At the chiral point this extremal BTZ turns out to be massless, and thus it can be regarded as a kind of ground state. Although the solution is not asymptotically AdS_3 in the sense of Brown-Henneaux boundary conditions, it does obey the weakened asymptotic recently proposed by Grumiller and Johansson. Consequently, we discuss the holographic computation of the conserved charges in terms of the stress-tensor in the boundary. For the case where the coupling constants satisfy the relation lμ_G=1+2lμ_E, electrically charged analogues to these solutions exist. These solutions are asymptotically AdS_3 in the strongest sense, and correspond to a logarithmic branch of selfdual solutions previously discussed in the literature.

16 pages; v2: references added, changes in the discussion of causal structure, comments on the relation with pp-wave solutions were included. Version v4 includes some comments on NMG

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• Chiral Gravity, Log Gravity and Extremal CFT
• Cosmological Topologically Massive Gravitons and Photons
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
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• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Classification of solutions in topologically massive gravity
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
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• A Comment on Kerr-CFT and Wald Entropy
• Holographic applications of logarithmic conformal field theories
• The RN/CFT Correspondence
• Hidden Conformal Symmetry of the Kerr-Newman Black Hole
• Black holes with a null Killing vector in three-dimensional massive gravity
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• Conserved Charges in Extended Theories of Gravity
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Black Holes in Born-Infeld Extended New Massive Gravity
• Hidden Conformal Symmetry of Rotating Black Hole with four Charges
• Supersymmetric Warped AdS in Extended Topologically Massive Supergravity
• Black Hole Vacua and Rotation
• On asymptotically AdS-like solutions of three dimensional massive gravity
• More on Asymptotically Anti-de Sitter Spaces in Topologically Massive Gravity
• Minimal Log Gravity
• Covariant Symplectic Structure and Conserved Charges of Topologically Massive Gravity
• Witten-Nester Energy in Topologically Massive Gravity
• Horizon symmetries and hairy black holes in AdS
• Gravity duals for logarithmic conformal field theories
• On the addition of torsion to chiral gravity
• Conserved charges in 3D gravity
• Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor
• Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
• More on vacua of exotic massive 3D gravity
• Motion and trajectories of photons in a three-dimensional rotating Hořava AdS black hole
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Particle collisions near a three-dimensional warped AdS black hole
• Boundary stress tensor and asymptotically AdS3 non-Einstein spaces at the chiral point
• Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
• Exact solutions in 3D gravity with torsion
• Evanescent gravitons in Warped Anti-de Sitter space
• Null Surface Thermodynamics in Topologically Massive Gravity
• Critical points of the Exotic Massive 3D Gravity
• Critical points of WAdS/CFT and higher-curvature gravity
• On Effective Potential in Tortoise Coordinate