Horava-Lifshitz gravity and Godel Universe

TL;DR

This paper demonstrates the compatibility of the G"{o}del metric with Horava-Lifshitz gravity across various parameter regimes, revealing that exotic matter is necessary for certain conditions like a small cosmological constant.

Contribution

It establishes the conditions under which the G"{o}del metric is consistent with Horava-Lifshitz gravity, including the necessity of exotic matter in some cases.

Findings

G"{o}del metric is consistent with Horava-Lifshitz gravity for different parameters.

Exotic matter is required for small cosmological constant cases.

Consistency depends on the relations between theory parameters.

Abstract

We prove the consistency of the G\"{o}del metric with the Horava-Lifshitz gravity whose action involves terms with z=1, z=2 and z=3. We show that, for different relations between the parameters of the theory, this consistency is achieved for different classes of matter, in particular, for the small cosmological constant it is achieved only for the exotic matter, that is, ghosts or phantom matter.