On three dimensional bigravity

TL;DR

This paper investigates three-dimensional f-g bigravity, revealing (A)dS solutions, critical point behaviors with Log gravity solutions, and exact static black hole solutions, expanding understanding of lower-dimensional gravity models.

Contribution

It introduces new exact solutions and critical phenomena in three-dimensional f-g bigravity, including Log gravity and black hole solutions.

Findings

Existence of (A)dS and (A)dS wave solutions

Log gravity solutions at critical coupling

Exact static black hole solutions

Abstract

In this paper we explore some features of f-g theory in three dimensions. We show that the theory has (A)dS and (A)dS wave solutions. In particular at a critical value of the coupling constant we see that the model admits Log gravity solution as well, reminiscing TMG and NMG. We have also studied a class of exact static spherically symmetric black hole solution in the model.