Analysis of baryon to entropy ratio in Ricci inverse gravity

Abdul Jawad; Abdul Malik Sultan

doi:10.1209/0295-5075/ac6977

All issues

Volume 138 / No 2 (April 2022)

EPL, 138 2 (2022) 29001

Abstract

Issue		EPL Volume 138, Number 2, April 2022


Article Number		29001
Number of page(s)		7
Section		Gravitation, cosmology and astrophysics
DOI		https://doi.org/10.1209/0295-5075/ac6977
Published online		24 May 2022

EPL, 138 (2022) 29001

Analysis of baryon to entropy ratio in Ricci inverse gravity

Abdul Jawad¹^(a) and Abdul Malik Sultan¹^,2^(b)

¹ Department of Mathematics, COMSATS University Islamabad - Lahore Campus-54000, Pakistan
² Department of Mathematics, University of Okara - Okara-56130 Pakistan

^(a) jawadab181@yahoo.com (corresponding author)
^(b) ams@uo.edu.pk

Received: 13 February 2022
Accepted: 22 April 2022

Abstract

This letter is devoted to investigate the matter-antimatter asymmetry through baryogenesis (and generalized gravitational baryogenesis interaction) in the realm of f(R, A) theory of gravity also known as Ricci inverse gravity, where R is the curvature scalar and A is the anti-curvature scalar. Baryogensis (baryon to entropy ratio $\frac{\eta_{_B}}{S}=\frac{\eta_{_\beta}-\eta_{\bar{\beta}}}{S}$ ) is a theoretical process that took place in the early history of the universe producing supremacy of matter over anti-matter, where S is entropy of universe and $\eta_{_\beta}(\eta_{\bar{_\beta}})$ is the baryon (anti-baryon) number. In this article, we inspect the consequences of $\mathcal{C}\mathcal{P}-violating$ interactions proportional to $\partial_{\nu}(R+A)$ and $\partial_{\nu}f(R+A)$ . We take $f(R,A)=R+\frac{\alpha}{A}$ as specific model to analyze the phenomenon of baryogenesis and generalized gravitational baryogenesis. Our outcomes show that f(R, A) gravity can come up consistently and significantly to the phenomenon of gravitational baryogenesis. We compare our results with latest astrophysical data of baryon to entropy ratio, which exhibits outstanding compatibility with the observational bounds.

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