Generalized Gravitational Baryogenesis of Well-Known $f(T,T_G)$ and $f(T,B)$ Models

TL;DR

This paper explores gravitational baryogenesis within $f(T,T_G)$ and $f(T,B)$ gravity models, demonstrating their consistency with observed matter-antimatter asymmetry through specific power law and Taylor expansion models.

Contribution

It introduces a generalized baryogenesis interaction in $f(T,T_G)$ and $f(T,B)$ gravities and analyzes their compatibility with observational data.

Findings

Generalized baryogenesis interaction proportional to derivatives of $f(T+T_G)$ and $f(T+B)$.

Models show excellent agreement with observed baryon to entropy ratio.

Power law and Taylor expansion models fit well with astrophysical constraints.

Abstract

The baryogenesis presents the theoretical mechanism that describes the matter-antimatter asymmetry in the history of early universe. In this work, we investigate the gravitational baryogenesis phenomena in the frameworks of $f(T, T_G)$ (where $T$ and $T_G$ are the torsion scalar and teleparallel equivalent to the Gauss-Bonnet term respectively) and $f(T, B)$ (where $B$ denotes the boundary term between torsion and Ricci scalar) gravities. For $f(T,T_G)$-gravity, we consider two generic power law models while logarithmic and general Taylor expansion models for $f(T,B)$-gravity. We consider power law scale factor for each model and compute baryon to entropy ratio by assuming that the universe filled by perfect fluid and dark energy. We find generalized baryogenesis interaction which is proportional to $\partial_\mu f(T+T_G)$ and $\partial_\mu f(T+B)$ for both theories of gravity. We compare our results against current astrophysical data of baryon to entropy ratio, which indicates excellent consistency with observational bounds (i.e., $\frac{\eta_B}{S} = 9.42 \times 10^{-11}$).