Lifshitz Black Hole in Three Dimensions

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.

5 pages. v2: minor corrections. v3: references added. Published in Phys.Rev.D

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