Cosmology from Newton-Chern-Simons gravity

TL;DR

This paper explores a five-dimensional non-relativistic gravity model combining Newton-Chern-Simons gravity with a perfect fluid, revealing cosmological solutions including a phantom future singularity similar to a Little Big Rip.

Contribution

It introduces a novel five-dimensional non-relativistic gravity framework with cosmological solutions analogous to Hořava-Lifshitz theory, including a unique phantom singularity.

Findings

Found solutions with asymptotic limits

Identified a phantom future singularity

Demonstrated analogy with Hořava-Lifshitz cosmology

Abstract

We study a five-dimensional non-relativistic gravity theory whose action is composed of a gravitational sector and a sector of matter where the gravitational sector is given by the so called Newton--Chern--Simons gravity and where the matter sector is described by a perfect fluid. At time to do cosmology, the obtained field equations shows a close analogy with the projectable version of the Ho\v{r}ava--Lifshitz theory in (3+1)-dimensions. Solutions and their asymptotic limits are found. In particular a phantom solution with a future singularity reminiscent of a Litlle Big Rip future singularity is obtained.