Kundt spacetimes of massive gravity in three dimensions

Abstract

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.

31 pages, 7 figures

References in corpus (7)

• Massive Gravity in Three Dimensions
• Three-Dimensional Gravity Revisited
• Warped AdS_3 Black Holes
• Note on New Massive Gravity in $Ad{S}_3$
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Lorentzian spacetimes with constant curvature invariants in four dimensions
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Cited by in corpus (1)

• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants