Black holes with topologically nontrivial AdS asymptotics
Abstract
Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer 0 < k < [(d-1)/2] which possess a unique globally AdS vacuum. The transverse sections of these solutions are d-2 surfaces of constant curvature, allowing for different topological configurations. The thermodynamic analysis of these solutions reveals that the presence of a negative cosmological constant is essential to ensure the existence of stable equilibrium states. In addition, it is shown that these theories are holographically related to [(d-1)/2] different conformal field theories at the boundary.
Cite
@article{arxiv.hep-th/0011097,
title = {Black holes with topologically nontrivial AdS asymptotics},
author = {R. Aros and R. Troncoso and J. Zanelli},
journal= {arXiv preprint arXiv:hep-th/0011097},
year = {2009}
}
Comments
13 Pages, 3 figures, two columns, Revtex, last version for PRD