Three-dimensional black holes and descendants

Abstract

We determine the most general three-dimensional vacuum spacetime with a negative cosmological constant containing a non-singular Killing horizon. We show that the general solution with a spatially compact horizon possesses a second commuting Killing field and deduce that it must be related to the BTZ black hole (or its near-horizon geometry) by a diffeomorphism. We show there is a general class of asymptotically AdS${}_3$ extreme black holes with arbitrary charges with respect to one of the asymptotic-symmetry Virasoro algebras and vanishing charges with respect to the other. We interpret these as descendants of the extreme BTZ black hole.

10 pages. v2: general solution has second Killing field, changes and additions to reflect this, references added. v3: included analysis of non-extreme solution and discussion

References in corpus (5)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Symmetries of Higher Dimensional Black Holes
• Classical instability of Kerr-AdS black holes and the issue of final state
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• Symplectic and Killing Symmetries of AdS${}_3$ Gravity: Holographic vs Boundary Gravitons
• Exploring New Physics Frontiers Through Numerical Relativity
• Near horizon dynamics of three dimensional black holes
• Wiggling Throat of Extremal Black Holes
• Transverse deformations of extreme horizons
• On Quantization of AdS3 Gravity I: Semi-Classical Analysis
• Conserved charges, surface degrees of freedom, and black hole entropy
• Uniqueness of supersymmetric AdS${}_5$ black holes with $SU(2)$ symmetry
• Uniqueness of the extremal Schwarzschild de Sitter spacetime
• Coherence effects in disordered geometries with a field-theory dual
• Non-Einsteinian Black Holes in Generic 3D Gravity Theories
• Uniqueness of extremal charged black holes in de Sitter