Bouncing universe with modified dispersion relation

TL;DR

This paper explores how modified dispersion relations influence the bouncing behavior and entropy of the FRW universe, revealing that curvature parameter k critically affects the occurrence and properties of the bounce.

Contribution

It derives generalized Friedmann and entropy relations incorporating modified dispersion relations, highlighting the impact of curvature on bouncing cosmology.

Findings

Bouncing occurs at normal energy limits for closed universe (k=1).

Modified entropy equals zero during bounce.

Open universe (k=-1) does not exhibit bouncing behavior.

Abstract

In this paper, employing the modified dispersion relation, we have derived the general modified Friedmann equations and the corresponding modified entropy relations for the Friedmann-Robertson-Walker (FRW) Universe. In this setup, we find that when the big bounce happens, its energy scale and its corresponding modified entropy behavior are sensitive to the value of $k$. In contrast to the previous work with $k=0$, our work mainly demonstrates that the bouncing behavior for the closed Universe with $k=1$ appears at the normal energy limit of the modified dispersion relation introduced, and when bouncing phenomenon is in presence, its modified entropy is just equal to zero. Surprisingly, when $k=-1$, the bouncing behavior is in absence.