New guises of the BTZ black hole and the entropy of 2d CFT
New guises of the BTZ black hole and the entropy of 2d CFT
New guises of the BTZ black hole and the entropy of 2d CFT
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<strong>BTZ</strong> <strong>black</strong> <strong>hole</strong> AdS 3 with Rindler boundary AdS 3 with de Sitter boundary Time-dependent boundary Entropy CommentsAdS 3 with FRW boundaryThe <strong>BTZ</strong> metric can be expressed as (φ is now periodic)withds 2 = 1 z 2 [dz 2 − N 2 (τ, z)dτ 2 + A 2 (τ, z)dφ 2] , (39)A(τ, z)N(τ, z)The boundary has <strong>the</strong> form(= a(τ) 1 + µ − )ȧ2 (τ)4a(τ) 2 z 2(40)= 1 − µ − ȧ2 + 2aä4a 2 z 2 A(τ,= ˙ z). (41)ȧds 2 0 = g (0)µν dx µ dx ν = −dτ 2 + a 2 (τ)dφ 2 , (42)with a(τ) an arbitrary function.N. Tetradis University <strong>of</strong> A<strong>the</strong>ns