Einstein black holes, free scalars and AdS/CFT correspondence
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0406140,
title = {Einstein black holes, free scalars and AdS/CFT correspondence},
author = {Jorma Louko and Jacek Wisniewski},
journal= {arXiv preprint arXiv:hep-th/0406140},
year = {2009}
}
Comments
32 pages. LaTeX with amsfonts, amsmath, amssymb. (v2: References added. v3: Geodesic horizon-crossing clarified in section 2; comparison with quasilocal energy-momentum included in section 4.)