On Solutions of Minimal Massive 3D Gravity
Alex S. Arvanitakis
TL;DR
This paper investigates solutions of Minimal Massive Gravity (MMG), revealing conditions for conformally flat solutions, domain wall interpolations, and a novel AdS black hole within the unitarity region.
Contribution
It characterizes the solution space of MMG, including conditions for conformally flat solutions, domain wall interpolations, and a new AdS black hole solution.
Findings
Conformally flat solutions are locally isometric to (A)dS vacua.
Domain walls interpolate only when the bulk graviton is tachyonic.
A new non-BTZ AdS black hole satisfies boundary conditions within the unitarity region.
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".
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