Kundt spacetimes of massive gravity in three dimensions

Details Kundt spacetimes of massive gravity in three dimensions Kundt spacetimes of massive gravity in three dimensions

2009-07-11

arxiv.org/abs/0907.1973v1

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 7 figures

Scientific paper

We study Kundt solutions of topologically massive gravity (TMG) and the new theory of massive gravity (NMG), proposed recently in arXiv:0901.1766. For topologically massive gravity, only the CSI Kundt solutions (i.e., solutions with constant scalar polynomial curvature invariants) were found very recently in arXiv:0906.3559. We find non-CSI explicit solutions of TMG, when $\Lambda=-\mu^2$, and these are the first such solutions. For the new theory of massive gravity, after reducing the field equations to a manageable system of differential equations, the CSI solutions are discussed in detail, with a focus on a subfamily whose solutions are particulary easy to describe. A number of properties of Kundt solutions of TMG and NMG, such as an identification of solutions which lie at the intersection of the full non-linear and linearized theories, are also derived.

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