On Solutions of Minimal Massive 3D Gravity

Abstract

We look at solutions of Minimal Massive Gravity (MMG), a generalisation of Topologically Massive Gravity (TMG) that improves upon its holographic properties. It is shown that generically (in MMG parameter space) all conformally flat solutions of vacuum MMG are locally isometric to one of the two (A)dS vacua of the theory. We then couple a scalar field, and find that domain wall solutions can only interpolate between these two vacua precisely when the bulk graviton is tachyonic. Finally, we find a non-BTZ AdS black hole solution satisfying Brown-Henneaux boundary conditions, which lies within the "bulk/ boundary unitarity region".

arXiv comment12 pages, references added

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• Black hole conserved charges in Generalized Minimal Massive Gravity
• On Exact Solutions and the Consistency of 3D Minimal Massive Gravity
• Kundt solutions of Minimal Massive 3D Gravity
• Homogeneous Solutions of Minimal Massive 3D Gravity
• New Improved Massive Gravity and Three Dimensional Spacetimes of Constant Curvature and Constant Torsion
• 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
• Non-linear regime of the Generalized Minimal Massive Gravity in critical points
• Entropy product of rotating black holes in three-dimensions
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory