Exact analytic solutions in 2+1 Hořava gravity with cosmological constant

Abstract

We investigate the static solutions with rotational symmetry in the nonprojectable Ho\v rava theory in \(2+1\) dimensions. We consider all inequivalent terms of the effective theory, including the cosmological constant. We find two distinct types of solutions: the first one corresponds to a Lifshitz solution, while the second one is obtained through a coordinate transformation of the equations of motion, and exhibits Lifshitz scaling only asymptotically.

v3