Anisotropic dark energy models in Brans Dicke theory of gravitation with different expansion laws: A comparative study

Abstract

In this paper, we have derived the general solutions of the field equations of the Scalar–Tensor theory of gravitation, proposed by Brans and Dicke (1961) within the framework of a locally rotationally symmetric (LRS) metric. We have discussed the anisotropic dark energy models by assuming the time-dependent general scale factor [Formula: see text]. Further, we have discussed the physical and geometric behaviors of the model using different forms of the scale factors. We have also performed a comparative study of the results obtained in various cases. We have observed that the solutions obtained using Hybrid Expansion Law (HEL) are more consistent with recent observations as compared to the rest. Stability of the solutions is also compared using metric perturbations.

Anisotropy Bianchi Type-III Cosmological Model in Brans-Dicke Theory of Gravitation

“…4) It suggests a probable solution for the missing matter problem that arises in non-flat FRW cosmologies. Many authors have discussed several aspects of Brans-Dicke theory viz, Neelima et al (1) , Nimkar et al (2) Tripathy et al (3) , Kapse (4) , Sadeghi et al (5) , Aditya et al (6) , Singh et al (7) , Singla et al (8) , Kumar et al (9) , Sharif et al (10) , Rasouli et al (11) . https://www.indjst.org/ In this theory, a cosmological model based on two fluids is preferable to a single-fluid model with two sequences.…”