New guises of the BTZ black hole and the entropy of 2d CFT

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BTZ black hole AdS 3 with Rindler boundary AdS 3 with de Sitter boundary Time-dependent boundary Entropy CommentsOutlineFefferman-Graham parametrization of AdS 3 with variousboundary metricsStress-energy tensorEntropyCommentsP. Apostolopoulos, G. Siopsis, N. T. : arxiv:0809.3505[hep-th], Phys.Rev. Lett. 102 (2009) 151301N. T. : arxiv:0905.2763[hep-th], JHEP 1003 (2010) 040N. Lamprou, S. Nonis, N. T. : arXiv:1106.1533 [gr-qc]N. T. : arXiv:1106.2492 [hep-th]N. Tetradis University of Athens
BTZ black hole AdS 3 with Rindler boundary AdS 3 with de Sitter boundary Time-dependent boundary Entropy CommentsThe BTZ black holeMetric in Schwarzschild coordinates (φ has a period equal to 2π):ds 2 = −f(r)dt 2 + dr 2f(r) + r 2 dφ 2 , f(r) = r 2 − µ. (1)Temperature, energy and entropy of the black hole (V = 2π):T = 1 √ Vµ, E = µ,2π16πG 3Metric in Fefferman-Graham coordinates:ds 2 = 1 ( [dz 2z 2 − 1 − µ 4 z2) 2dt 2 +S = V4G 3√ µ. (2)(1 + µ 4 z2) 2dφ2]. (3)withz = 2 µ(r ∓ √ )r 2 − µ , r = 1 z + µ z. (4)4z takes values 0 < z ≤ z e = 2/ √ µ and z e ≤ z < ∞, coveringtwice the region outside the event horizon.r takes values r e = √ µ ≤ r < ∞. Throat at z = 2/ √ µ.N. Tetradis University of Athens
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New guises of the BTZ black hole and the entropy of 2d CFT

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