Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
Abstract
Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both positive and vanishing values of the cosmological constant where stretched warped anti-de Sitter space is found to be a solution. For positive cosmological constant, another class of warped solutions is obtained by a spacelike (timelike) line fibration over Lorentzian (Euclidean) two-dimensional de Sitter space. These solutions exhibit a cosmological horizon and Hawking temperature much like de Sitter space. Global identifications of this warped de Sitter space may contain a horizon in addition to the cosmological one. At a degenerate point, warped de Sitter space becomes a fibration over two-dimensional flat space. Finally, we study scalar waves in these backgrounds. Scalars in stretched warped anti-de Sitter space exhibit superradiance which can be interpreted as Schwinger pair production of charged particles in two-dimensional anti-de Sitter space.
Cite
@article{arxiv.0906.1819,
title = {Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity},
author = {Dionysios Anninos},
journal= {arXiv preprint arXiv:0906.1819},
year = {2010}
}
Comments
1+24 pages, 1 figure