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arxiv: 1204.3288 · v1 · pith:WEIH67IMnew · submitted 2012-04-15 · 🌀 gr-qc · hep-th

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

classification 🌀 gr-qc hep-th
keywords anti-deasymptoticallylimitsitterconstantcoordinatescosmologicalflat
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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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