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.

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.