Bouncing Cosmology for Entropy Corrected Models in Horava-Lifshitz Gravity and Fractal Universe

TL;DR

This paper investigates bouncing cosmological models within entropy-corrected frameworks of Hořava-Lifshitz gravity and fractal universe, analyzing stability, energy conditions, and physical behaviors through dynamical systems and diagrams.

Contribution

It formulates and analyzes entropy-corrected models in both Hořava-Lifshitz gravity and fractal universe, including stability and bounce scenarios for different curvature cases.

Findings

Bouncing solutions are found in various models and curvature cases.

Null energy condition validity is examined at bounce points.

Physical behaviors are illustrated through diagrams.

Abstract

The modified field equations are written in logarithmic and power law versions of entropy corrected models in Einstein's gravity in the background of FRW universe. In one section, a brief review of the Ho$\check{\text r}$ava-Lifshitz gravity is discussed and the modified field equations in logarithmic and power law versions of entropy corrected models in Ho$\check{\text r}$ava-Lifshitz gravity are formulated. The stability analysis for these models are performed by describing the dynamical system. In another section, a brief review of the fractal universe is presented and the modified field equations in logarithmic and power law versions of entropy corrected models in fractal universe are formulated. The stability analysis for the dynamical system for these models in the framework of fractal universe are described. Furthermore, the bouncing scenarios of the universe in Ho$\check{\text r}$ava-Lifshitz gravity and fractal model for both logarithmic and power law entropy corrected versions in $k=0,+1,-1$ separately are analyzed. For different cases, the validity of null energy condition (NEC) at the time of bounce is examined. Finally, the behaviors of the physical quantities are depicted through diagrams.