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

By G. Barnich, Andrés Gomberoff, H. Gonz'alez. 2012

276 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/011c517943117cb1d76970e1e465a93352e89db7

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Citations in the corpus

Asymptotically flat spacetimes in three-dimensional higher spin gravity (2013, background): “[21] G.”
Advanced Lectures on General Relativity (2018, methodology): “Instead of developing here the full deduction of suitable boundary conditions and the analytical derivation of the solutions, we take advantage of our knowledge about asymptotically AdS3 spacetimes, and we simply take the limit `Ñ 8 (which is equivalent to Λ Ñ 0) [33].”
Notes on the BMS group in three dimensions: I. Induced representations (2014, background): “[22,30–35]), the purpose of the present paper is to initiate the study of the representations of the BMS3 group and to show that, like in the conformal case, they are controlled by powerful, well-established results on the Virasoro group, which are readily available in the literature.”
Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory (2012, background): “It can be connected through a well-defined flat-space limit to the anti-de Sitter case [11]: the limit of the BTZ black holes are cosmological solutions whose horizon entropy can be understood from symmetry arguments [12, 13] consistent with those of the anti-de Sitter case [14].”
Flat holography and Carrollian fluids (2018, background): “In the language of fluids, it naturally incorporates the scaling introduced in [37] — see footnote 2.”
Tensionless strings and Galilean Conformal Algebra (2013, background): “Given that the 2d GCA is a contraction of the Virasoro algebra, this meant that the symmetry structure of flat space could be understood as a limit of the symmetry structure of AdS [11, 12].”