# Lifshitz Black Hole in Three Dimensions

## TL;DR

This paper demonstrates that three-dimensional massive gravity admits Lifshitz solutions with various dynamical exponents and constructs exact black hole solutions at z=3, providing potential gravity duals for scale-invariant fixed points.

## Contribution

The work shows Lifshitz metrics as exact solutions in 3D massive gravity and introduces explicit black hole solutions at z=3, expanding the landscape of gravity duals.

## Key findings

- Lifshitz metrics are exact solutions in 3D massive gravity.
- Exact black hole solutions exist at z=3 with Lifshitz asymptotics.
- These solutions serve as gravity duals for scale-invariant fixed points.

## Abstract

We show that three-dimensional massive gravity admits Lifshitz metrics with generic values of the dynamical exponent z as exact solutions. At the point z=3, exact black hole solutions which are asymptotically Lifshitz arise. These spacetimes are three-dimensional analogues of those that were recently proposed as gravity duals for scale invariant fixed points.