Uniqueness of the asymptotic AdS3 geometry

Abstract

We explicitly show that in (2+1) dimensions the general solution of the Einstein equations with negative cosmological constant on a neigbourhood of timelike spatial infinity can be obtained from BTZ metrics by coordinate transformations corresponding geometrically to deformations of their spatial infinity surface. Thus, whatever the topology and geometry of the bulk, the metric on the timelike extremities is BTZ.

LaTeX, 8 pages, no figures, version that will appear in Class. Quant. Grav

References in corpus (5)

• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Quantum effective action from the AdS/CFT correspondence
• Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS3 gravity
• The Fefferman-Graham Ambiguity and AdS Black Holes
• 2+1-dimensional black holes with momentum and angular momentum

Cited by in corpus (24)

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• Vacua of the gravitational field
• Exploring de Sitter Space and Holography
• Dynamics of Asymptotic Diffeomorphisms in (2+1)-Dimensional Gravity
• Energy Reflection and Transmission at 2D Holographic Interfaces
• On 3d Bulk Geometry of Virasoro Coadjoint Orbits: Orbit invariant charges and Virasoro hair on locally AdS3 geometries
• Weyl Charges in Asymptotically Locally AdS${}_3$ Spacetimes
• Holographic Lorentz and Carroll Frames
• Phases of Holographic Interfaces
• On Holomorphic Factorization in Asymptotically AdS 3D Gravity
• Quantum Liouville theory and BTZ black hole entropy
• Obstruction Tensors in Weyl Geometry and Holographic Weyl Anomaly
• Three-dimensional black holes and descendants
• Steady States of Holographic Interfaces
• Holography and the Polyakov action
• Schrödinger Manifolds
• Conserved charges, surface degrees of freedom, and black hole entropy
• Lambda<0 Quantum Gravity in 2+1 Dimensions I: Quantum States and Stringy S-Matrix
• Holographic entanglement entropy in $T\overline{T}$-deformed AdS${}_3$
• Symmetries and Charges in Weyl-Fefferman-Graham Gauge
• Non-Einsteinian Black Holes in Generic 3D Gravity Theories