On Ho\v{r}ava-Lifshitz Cosmology

TL;DR

This paper explores the characteristics of Horava-Lifshitz cosmology, comparing it with General Relativity, and discusses the role of different matter components, especially the early stiff matter-like term, in cosmic evolution.

Contribution

It provides a detailed comparison of Horava-Lifshitz cosmology with Friedmann cosmology and analyzes the significance of early universe matter components within this framework.

Findings

Early-time Horava-Lifshitz cosmology includes a curvature-dependent stiff matter-like term.

The early stiff matter component has limited impact on the evolution in Horava-Lifshitz cosmology.

Comparison shows differences between Horava-Lifshitz and General Relativity solutions.

Abstract

We discuss some aspects of the Horava-Lifshitz cosmology with different matter components considered as dominants at different stages of the cosmic evolution (each stage is represented by an equation of state pressure/density=constant). We compare cosmological solutions from this theory with their counterparts of General Relativity (Friedmann cosmology). At early times, the Horava- Lifshitz cosmology contains a curvature-dependent dominant term which is stiff matter-reminiscent and this fact motivates to discuss, in some detail, this term beside the usual stiff matter component (pressure=density) if we are thinking in the role that this fluid could have played early in the framework of the holographic cosmology. Nevertheless, we show that an early stiff matter component is of little relevance in Horava-Lifshitz cosmology.