Classification of cosmology with arbitrary matter in the Ho\v{r}ava-Lifshitz theory

TL;DR

This paper classifies possible cosmological evolutions within the Hořava-Lifshitz gravity framework, considering both the original and modified versions, and explores how arbitrary matter influences these evolutions.

Contribution

It provides a systematic classification of cosmological solutions in Hořava-Lifshitz gravity, including a comparison between the original and analytically continued versions.

Findings

Different cosmological evolution scenarios identified

Impact of arbitrary matter on evolution patterns analyzed

Comparison between two versions of HL theory conducted

Abstract

In this short note, we are going to classify the cosmological evolutions in the recently proposed, nonrelativistic gravitational theory, the Ho\v{r}ava-Lifshitz (HL) theory. We consider the original HL theory (theory I), and the modified version obtained by an analytic continuation of parameters (theory II). We discuss the possiblilities of cosmological evolutions with arbitrary matter.