# 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.

## Key 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.