Homogeneous vacua of (generalized) new massive gravity

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.

1+25 pages; minor additions in conclusions (v2 to appear in Class. Quantum Grav.)

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Cited by in corpus (12)

• More on New Massive Gravity: Exact Solutions
• Some exact solutions of all f(Ricci) theories in three dimensions
• Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions
• Type D Solutions of 3D New Massive Gravity
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole
• More on axial anomalies of Lifshitz fermions
• Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
• Homogeneous Solutions of Minimal Massive 3D Gravity
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• Thurston Geometries in Three-Dimensional New Massive Gravity
• Homogeneous anisotropic solutions of topologically massive gravity with cosmological constant and their homogeneous deformations