The flat limit of three dimensional asymptotically anti-de Sitter spacetimes

Details The flat limit of three dimensional asymptotically anti-de Sitter spacetimes The flat limit of three dimensional asymptotically anti-de Sitter spacetimes

2012-04-15

arxiv.org/abs/1204.3288v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages revtex file

Scientific paper

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.

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