Non-singular cosmology in a model of non-relativistic gravity

TL;DR

This paper introduces a non-relativistic gravity model that is renormalizable in 3+1 dimensions, leading to non-singular cosmological solutions including bouncing and cyclic universes, with quantum consistency.

Contribution

It proposes a power-counting renormalizable non-relativistic gravity theory applied to cosmology, enabling non-singular bouncing and cyclic universe models.

Findings

Dark radiation component can cause a bounce with negative energy density.

The model supports cyclic universe scenarios with periodic contractions and expansions.

Background theory remains well-defined at the quantum level.

Abstract

We present a model of non-relativistic gravitational theory which is power-counting renormalizable in 3+1 dimensional spacetime. When applied to cosmology, the relativity-violation terms lead to a dark radiation component, which can give rise to a bounce if dark radiation possesses negative energy density. Additionally, we investigate a cyclic extension of the non-singular cosmology in which the universe undergoes contractions and expansions periodically. In both scenarios the background theory is well defined at the quantum level.