Flat limit of three dimensional asymptotically anti–de Sitter spacetimes

2012/04/15 by Glenn Barnich, Andrés Gomberoff, Hernán A. González · 276 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Gravitation #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Order (exchange) #Physics #Quantum mechanics #Relation (database) #Schwarzschild radius #Theoretical physics #Universe #de Sitter–Schwarzschild metric #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.86.024020

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 86(2) (American Physical Society) · 11 pages revtex file

arxiv created 2012/04/15 · openalex publication_date 2012/07/10 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In order to get a better understanding of holographic properties of gravitational theories with a vanishing cosmological constant, we analyze in detail the relation between asymptotically anti-de Sitter and asymptotically flat spacetimes in three dimensions. This relation is somewhat subtle because the limit of vanishing cosmological constant cannot be naively taken in standard Fefferman-Graham coordinates. After reformulating the standard anti-de Sitter results in Robinson-Trautman coordinates, a suitably modified Penrose limit is shown to connect both asymptotic regimes.

Citations

• Black hole in three-dimensional spacetime
• A holographic reduction of Minkowski space–time
• Quantum effective action from the AdS/CFT correspondence
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Quantum field theory and the Jones polynomial
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• What we don't know about BTZ black hole entropy
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• Quantum gravity partition functions in three dimensions
• Cosmological topologically massive gravitons and photons
• Geometry of the 2+1 Black Hole
• The large N limit of superconformal field theories and supergravity

Cited by

• Quantum Anomalies of Tensionless Bosonic Strings
• Entanglement Entropy in Galilean Conformal Field Theories and Flat Holography
• Overspinning naked singularities in AdS3 spacetime
• Characters of the BMS Group in Three Dimensions
• Near horizon soft hairs as microstates of generic AdS3 black holes
• Vacuum energy in asymptotically flat 2 + 1 gravity
• On stabilization of Maxwell-BMS algebra
• Carrollian Amplitudes and Holographic Correlators in AdS3/CFT2
• Swing surfaces and holographic entanglement beyond AdS/CFT

Related

• Can we implement the holographic principle in asymptotically flat spacetimes?
• Holographic Characterisation of Locally Anti-de Sitter Spacetimes
• On the structure of asymptotically de Sitter and anti-de Sitter spaces
• Study of the de Sitter space-time and its behavior at infinity
• Topological rigidity of dimensional reduction to three dimensions