Anti-de Sitter space, squashed and stretched

Abstract

We study the Lorentzian analogues of the squashed 3-sphere, namely 2+1 dimensional anti-de Sitter space, squashed or stretched along fibres that are either spacelike or timelike. The causal structure, and the property of being an Einstein--Weyl space, depend critically on whether we squash or stretch. We argue that squashing, and stretching, completely destroys the conformal boundary of the unsquashed spacetime. As a physical application we observe that the near horizon geometry of the extremal Kerr black hole, at constant Boyer--Lindquist latitude, is anti-de Sitter space squashed along compactified spacelike fibres.

25 pages, 2 figures; oversight corrected

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Cited by in corpus (55)

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• The Kerr/CFT Correspondence
• Warped AdS_3 Black Holes
• Classification of solutions in topologically massive gravity
• Chaotic motion of particles in the accelerating and rotating black holes spacetime
• The Kerr/CFT correspondence and its extensions: a comprehensive review
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Towards non-AdS holography in 3-dimensional higher spin gravity
• Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector
• Towards a bulk description of higher spin SYK
• Stability of warped AdS3 vacua of topologically massive gravity
• Hopfing and Puffing Warped Anti-de Sitter Space
• Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
• Locality and anomalies in warped conformal field theory
• Warped Information and Entanglement Islands in AdS/WCFT
• Warped black holes in 3D general massive gravity
• Wiggling Throat of Extremal Black Holes
• Warped Entanglement Entropy
• Explaining Nonlinearities in Black Hole Ringdowns from Symmetries
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Rigid 4D N=2 supersymmetric backgrounds and actions
• Calibrated Entanglement Entropy
• Four-dimensional Traversable Wormholes and Bouncing Cosmologies in Vacuum
• Effects of acceleration on the collision of particles in the rotating black hole spacetime
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Godel space from wrapped M2-branes
• Cardy and Kerr
• Conserved charges, surface degrees of freedom, and black hole entropy
• Supersymmetric traversable wormholes
• Warped-AdS3 black holes with scalar halo
• Scalar field dynamics in warped AdS_3 black hole background
• Conserved charges in timelike Warped-AdS${}_3$ spaces
• Renormalized vacuum polarization on rotating warped AdS3 black holes
• The Brown-York mass of black holes in Warped Anti-de Sitter space
• Stability of warped AdS3 black holes in Topologically Massive Gravity under scalar perturbations
• Particle collisions near a three-dimensional warped AdS black hole
• Stability of Horizon in Warped AdS Black Hole via Particle Absorption
• Supersymmetric Solutions of N = (1,1) General Massive Supergravity
• Improvement of a conserved current density versus adding a total derivative to a Lagrangian density
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Self-gravitating solutions in Yang-Mills-Chern-Simons theory coupled to 3D massive gravity
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
• A Selberg zeta function for warped AdS${}_3$ black holes
• What are extremal Kerr Killing vectors up to?
• Spinning probes and helices in AdS${}_3$
• Asymptotic Chern-Simons formulation of spacelike stretched AdS gravity
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field
• Critical points of WAdS/CFT and higher-curvature gravity
• Characterization of three-dimensional Lorentzian metrics that admit four Killing vectors
• Near horizon symmetry of extremal spacelike-stretched black holes
• Quantum field theory on rotating black hole spacetimes
• Conelike radiant structures
• Sub-Lorentzian Geometry on Anti-De Sitter Space
• The two-body problem in 2+1 spacetime dimensions with negative cosmological constant: two point particles