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

2025/04/23 by Bellorín, Jorge, Bórquez, Claudio, Droguett, Byron
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2504.16895

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.

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• Global dynamics of the Horava-Lifshitz cosmological model in a non-flat universe with non-zero cosmological constant