Anisotropy effects on Baryogenesis in $f(R)$-Theories of Gravity

TL;DR

This paper investigates how anisotropic $f(R)$ gravity models influence gravitational baryogenesis and the resulting baryon asymmetry in the early universe, focusing on Bianchi type I cosmology.

Contribution

It explores the impact of anisotropy in $f(R)$ gravity on baryon asymmetry, extending gravitational baryogenesis models to anisotropic cosmological backgrounds.

Findings

Anisotropy affects the baryon-to-entropy ratio in $f(R)$ gravity.

The study provides insights into baryogenesis in anisotropic early universe models.

Results suggest anisotropic effects can modify baryon asymmetry predictions.

Abstract

We study the $f(R)$ theory of gravity in an anisotropic metric and its effect on the baryon number to entropy ratio. The mechanism of gravitational baryogenesis based on the CPT-violating gravitational interaction between derivative of the Ricci scalar curvature and the baryon-number current is investigated in the context of the $f(R)$ gravity. The gravitational baryogenesis in the Bianchi type I universe is examined. We survey the effect of anisotropy of the universe on the baryon asymmetry from point of view the $f(R)$-theories of gravity and its effect on $n_{b}/s$ for radiation dominant regime.