Observational constraint in Kantowski–Sachs f(R) gravity model with strange quark matter

• Published in: Indian journal of physics 2023-10, Vol.97 (12), p.3695-3705
• Main Authors: Dixit, Archana, Bhardwaj, Vinod Kumar, Pradhan, Anirudh, Krishnannair, Syamala
• Format: Article
• Language: English
• Subjects: Astrophysics and Astroparticles; Dark energy; Deceleration; Graphical representations; Linear functions; Original Paper; Parameters; Physical properties; Physics; Physics and Astronomy; Quarks; Relativity; Time dependence
• ISSN: 0973-1458; 0974-9845
• DOI: 10.1007/s12648-023-02669-0

In this paper, we have discussed the cosmological consequence of the f ( R ) dark energy scenario with the Kantowski-Sachs space-time in the context of strange quark matter with string clouds. Here, R is the “Ricci scalar” of space-time. The physical parameters are derived and their behavior is extensively described by using graphical representations. To achieve a deterministic solution we consider the time-dependent scale factor a ( t ) = α 1 exp ( 1 β 2 β t + α ) , where α > 0 , β > 0 and α 1 ≠ 1 are arbitrary constants. The deceleration parameter is assumed as a linear function of the Hubble parameter q = β H - 1 . We find constraints on H 0 and β with 57 observational Hubble data sets (OHD). The function f ( R ) is explicitly obtained and satisfies the cosmological viability constraint. We also examine the validity of the energy conditions.