Three-dimensional massive gravity and the bigravity black hole

TL;DR

This paper explores a three-dimensional massive gravity theory with two dynamical metrics, revealing black hole solutions, a critical point, and boundary conditions, contributing to understanding massive gravitons without higher derivatives.

Contribution

It introduces a parity-preserving 3D massive gravity with two metrics, analyzing black holes and boundary conditions, expanding on TMG and NMG frameworks.

Findings

Existence of warped black holes

Identification of a critical point in the theory

Generalized Brown-Henneaux boundary conditions

Abstract

We study three-dimensional massive gravity formulated as a theory with two dynamical metrics, like the f-g theories of Isham-Salam and Strathdee. The action is parity preserving and has no higher derivative terms. The spectrum contains a single massive graviton. This theory has several features discussed recently in TMG and NMG. We find warped black holes, a critical point, and generalized Brown-Henneaux boundary conditions.