Vacua of Exotic Massive 3D Gravity

Abstract

We consider the recently proposed exotic 3D massive gravity. We show that this theory has a rich space of vacua, including asymptotically Anti de-Sitter (AdS) geometries obeying either the standard Brown-Henneaux boundary conditions or the weakened asymptotic behavior of the so-called Log-gravity. Both sectors contain non-Einstein spaces with $SO(2)\times \mathbb{R}$ isometry group, showing that the Birkhoff theorem does not hold all over the parameter space, even if strong AdS boundary conditions are imposed. Some of these geometries correspond to 3D black holes dressed with a Log-gravity graviton. We conjecture that such geometries appear in a curve of the parameter space where the exotic 3D massive gravity on AdS${}_3$ is dual to a chiral conformal field theory. The theory also contains other interesting vacua, including different families of non-AdS black holes.

12 pages, no figures

References in corpus (4)

• Massive Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• Minimal Massive 3D Gravity
• The Third Way to 3D Gravity

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• Thurston Geometries in Three-Dimensional New Massive Gravity
• Self-gravitating solutions in Yang-Mills-Chern-Simons theory coupled to 3D massive gravity
• Exotic Massive Gravity: Causality and a Birkhoff-like Theorem
• Critical points of WAdS/CFT and higher-curvature gravity
• Lower-dimensional Gauss-Bonnet gravity black holes with quintessence
• The mass of a Lifshitz black hole