Kundt solutions of Minimal Massive 3D Gravity

Abstract

We construct Kundt solutions of Minimal Massive Gravity theory and show that, similar to Topologically Massive Gravity (TMG), most of them are constant scalar invariant (CSI) spacetimes, that correspond to deformations of round and warped (A)dS. We also find an explicit non-CSI Kundt solution at the merger point. Finally, we give their algebraic classification with respect to the traceless Ricci tensor (Segre classification) and show that their Segre-types match with the types of their counterparts in TMG.

18 pages, no figures; ver. 2: a new (explicit, exact) non-CSI solution has been added, main text improved and references updated 20 pages, no figures; ver. 3: version accepted for publication in Physical Review D

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• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Homogeneous Solutions of Minimal Massive 3D Gravity
• Holographically Viable Extensions of Topologically Massive and Minimal Massive Gravity?
• Thermodynamic Stability of the Stationary Lifshitz Black Hole of New Massive Gravity
• Circularly symmetric solutions of Minimal Massive Gravity at its merger point
• Holographic Renormalization of 3D Minimal Massive Gravity
• Evanescent gravitons in Warped Anti-de Sitter space
• Matter coupling in Minimal Massive 3D Gravity and spinor-matter interactions in exterior algebra formalism
• Solutions with pure radiation and gyratons in 3D massive gravity theories
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory