Einstein black holes, free scalars and AdS/CFT correspondence

Details Einstein black holes, free scalars and AdS/CFT correspondence Einstein black holes, free scalars and AdS/CFT correspondence

2004-06-16

arxiv.org/abs/hep-th/0406140v3

Phys.Rev. D70 (2004) 084024

Physics

High Energy Physics

High Energy Physics - Theory

32 pages. LaTeX with amsfonts, amsmath, amssymb. (v2: References added. v3: Geodesic horizon-crossing clarified in section 2;

Scientific paper

10.1103/PhysRevD.70.084024

We investigate AdS/CFT correspondence for two families of Einstein black holes in d > 3 dimensions, modelling the boundary CFT by a free conformal scalar field and evaluating the boundary two-point function in the bulk geodesic approximation. For the d > 3 counterpart of the nonrotating BTZ hole and for its Z_2 quotient, the boundary state is thermal in the expected sense, and its stress-energy reflects the properties of the bulk geometry and suggests a novel definition for the mass of the hole. For the generalised Schwarzschild-AdS hole with a flat horizon of topology R^{d-2}, the boundary stress-energy has a thermal form with energy density proportional to the hole ADM mass, but stress-energy corrections from compactified horizon dimensions cannot be consistently included at least for d=5.

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