Global dynamics of the Horava-Lifshitz cosmology in the presence of non-zero cosmological constant in a flat space

TL;DR

This paper investigates the overall behavior of a flat-space cosmological model within Horava-Lifshitz gravity, considering a non-zero cosmological constant, using qualitative differential equations analysis.

Contribution

It provides a novel qualitative analysis of the global dynamics of Horava-Lifshitz cosmology with a cosmological constant in flat space.

Findings

Characterizes the global phase space structure.

Identifies stable and unstable cosmological solutions.

Provides insights into the impact of the cosmological constant.

Abstract

Using the qualitative theory of differential equations, the global dynamics of a cosmological model based on Horava-Lifshitz gravity is studied in the space with zero curvature in the presence of the non-zero cosmological constant.