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 CommentsThe coordinate φ remains unaffected by <strong>the</strong> transformation. It isperiodic, with periodicity 2π.Dual picture: <strong>the</strong>rmalized <strong>CFT</strong> on an exp<strong>and</strong>ing background, witha scale factor a(τ).Stress-energy tensor:Casimir energy ∼ ȧ 2 /a 2 .Conformal anomaly:ρ = E V = −〈T τ τ 〉 = 116πG 3µ − ȧ 2a 2 (49)P = 〈T φ φ 〉 = 116πG 3µ − ȧ 2 + 2aäa 2 , (50)〈T µ (<strong>CFT</strong>)µ 〉 = 18πG 3äa . (51)N. Tetradis University <strong>of</strong> A<strong>the</strong>ns
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