Homogeneous vacua of (generalized) new massive gravity
High Energy Physics - Theory
2010-12-15 v2 General Relativity and Quantum Cosmology
Abstract
We obtain all homogeneous solutions of new massive gravity models on S^3 and AdS_3 by extending previously known results for the cosmological topologically massive theory of gravity in three dimensions. In all cases, apart from the maximally symmetric vacua, there are axially symmetric (i.e., bi-axially squashed) as well as totally anisotropic (i.e., tri-axially squashed) metrics of special algebraic type. Transitions among the vacua are modeled by instanton solutions of 3+1 Horava-Lifshitz gravity with anisotropic scaling parameter z=4.
Cite
@article{arxiv.1006.1871,
title = {Homogeneous vacua of (generalized) new massive gravity},
author = {Ioannis Bakas and Christos Sourdis},
journal= {arXiv preprint arXiv:1006.1871},
year = {2010}
}
Comments
1+25 pages; minor additions in conclusions (v2 to appear in Class. Quantum Grav.)