Non-singular bounce solutions in Myrzakulov $f(R,T)$ gravity

TL;DR

This paper explores nonsingular bounce cosmologies within Myrzakulov F(R,T) gravity, demonstrating how specific connection functions can produce matter bounce scenarios and analyzing scalar perturbations and power spectra.

Contribution

It introduces a novel approach to realize nonsingular bounces in Myrzakulov F(R,T) gravity by selecting connection functions that yield simple matter bounce scale factors.

Findings

Successful realization of nonsingular matter bounce solutions.

Analysis of scalar perturbations through the bounce.

Calculation of the resulting power spectrum.

Abstract

We investigate the realization of a nonsingular bounce within the framework of Myrzakulov \( F(R,T) \) gravity. This modified gravitational theory uses a non-special connection that combines both curvature and torsion, giving rise to an effective sector that can easily satisfy the violation of the null energy condition. We suitably choose the functions that parametrize the connection in order to be able to produce simple and matter bounce scale factors at the background level. Finally, we examine the evolution of scalar perturbations through the bounce using the Mukhanov-Sasaki formalism, and we calculate the power spectrum.