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- Title
Constraining Rastall parameter for baryon asymmetry factor using isotropic and anisotropic universe models.
- Authors
Saleem, Rabia; Saleem, Aqsa
- Abstract
This paper investigates the mystery of baryogenesis for isotropic and anisotropic universe models in the context of Rastall's theory of gravity (RTG). In the first part, we utilize the Rastall field equations (FEs) for the flat Friedmann Robertson Walker (FRW) metric to find the solutions of density ρ and Hubble parameter H. Additionally, Rastall parameter plays a crucial role to discuss baryogenesis and fulfilling its criteria on the observational ground. It is found that very large positive/negative values of Rastall parameter like λ ≥ 1 0 5 4 (for ω = 0) and λ ≤ − 1 0 2 2 (for ω = 1) are required to satisfy the observational bounds on baryon asymmetry factor (BAF), see Fig. 1. In the second part, we develop the FEs for RTG using the Locally Rotationally Symmetric (LRS) Bianchi type-1 line-element. Then we find the solutions of the FEs and use them to find the BAF using Rastall parameter as λ ≤ − 1 0 3 7 and anisotropic parameter n ≥ 2 to meet the consistency with the experimental limit, see Fig. 3. For n = 1 , the anisotropic model reduces to the isotropic FRW model, where we have a zero BAF. Finally, we conclude that RTG with both universe models is a good candidate to study baryogenesis in the early universe and the variable λ has a considerable impact on the BAF.
- Subjects
PAPHOS (Cyprus); DARK energy; HUBBLE constant; UNIVERSE
- Publication
International Journal of Geometric Methods in Modern Physics, 2024, Vol 21, Issue 5, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887824501020