Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity

Abstract

Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both positive and vanishing values of the cosmological constant where stretched warped anti-de Sitter space is found to be a solution. For positive cosmological constant, another class of warped solutions is obtained by a spacelike (timelike) line fibration over Lorentzian (Euclidean) two-dimensional de Sitter space. These solutions exhibit a cosmological horizon and Hawking temperature much like de Sitter space. Global identifications of this warped de Sitter space may contain a horizon in addition to the cosmological one. At a degenerate point, warped de Sitter space becomes a fibration over two-dimensional flat space. Finally, we study scalar waves in these backgrounds. Scalars in stretched warped anti-de Sitter space exhibit superradiance which can be interpreted as Schwinger pair production of charged particles in two-dimensional anti-de Sitter space.

1+24 pages, 1 figure

References in corpus (18)

• Massive Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• More on Massive 3D Gravity
• Black Hole Superradiance From Kerr/CFT
• Black hole mass and angular momentum in topologically massive gravity
• Chiral Gravity, Log Gravity and Extremal CFT
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• Three-dimensional Chern-Simons black holes
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Schwinger Pair Production in dS_2 and AdS_2
• Canonical structure of topologically massive gravity with a cosmological constant
• Stability of warped AdS3 vacua of topologically massive gravity
• Canonical analysis of cosmological topologically massive gravity at the chiral point
• Scalar field dynamics in warped AdS_3 black hole background
• Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term

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• AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
• Quasi-normal modes of warped black holes and warped AdS/CFT correspondence
• Holography at an Extremal De Sitter Horizon
• 3D supergravity from wrapped M5-branes
• A de Sitter Hoedown
• Quasilocal Conserved Charges with a Gravitational Chern-Simons Term
• Matter coupling in 3D "Minimal Massive Gravity"
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• The Curious Case of Null Warped Space
• Real-time correlators in warped AdS/CFT correspondence
• Warped Entanglement Entropy
• Holography For a De Sitter-Esque Geometry
• Marginal Deformations and Rotating Horizons
• Quantum Kerr-de Sitter black holes in three dimensions
• Four-dimensional Traversable Wormholes and Bouncing Cosmologies in Vacuum
• Charged Quantum Fields in AdS${}_2$
• Hidden Conformal Symmetry of Warped AdS_3 Black Holes
• Absorption cross section in warped AdS_3 black hole revisited
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• Quantum Topologically Massive Gravity in de Sitter Space
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• Quasinormal Modes and Hidden Conformal Symmetry of Warped dS${}_3$ Black Hole
• The Brown-York mass of black holes in Warped Anti-de Sitter space
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• Astrophysics in Strong Electromagnetic Fields and Laboratory Astrophysics
• Warped Flatland
• Self-gravitating solutions in Yang-Mills-Chern-Simons theory coupled to 3D massive gravity
• Homogeneous anisotropic solutions of topologically massive gravity with cosmological constant and their homogeneous deformations
• A Selberg zeta function for warped AdS${}_3$ black holes
• Characterization of three-dimensional Lorentzian metrics that admit four Killing vectors
• Critical points of WAdS/CFT and higher-curvature gravity
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Notes on Self-dual Warped dS${}_3$ Spacetime