Conformal symmetric Bianchi type-I cosmologies in f(R) gravity

Abstract

In this study, we investigate the Bianchi type-I cosmologies with string cloud attached to perfect fluid in f(R) gravity. The field equations and their exact solutions for Bianchi type-I cosmologies with string cloud attached to a perfect fluid are found by using the conformal symmetry properties. The obtained solutions under the varied selection of arbitrary constants indicate three cosmological models. Isotropy conditions for obtained cosmological models are investigated for large value of time. Whether or not the string cloud in conformal symmetric Bianchi type-I universe supports the isotropy condition for the large value of time has been investigated. Also, we examine the contracting and decelerating features of the obtained solutions by using Raychaudhuri equation. Finally, geometrical and physical results of the solutions are discussed.

A note on some perfect fluid Kantowski–Sachs and Bianchi type III spacetimes and their conformal vector fields in f(R) theory of gravity

“…(b) In the cases (ii) and (viii), the above space-time (2) admits proper conformal vector fields which are given in equations (24) and (33). These space-times are given in equations (22) and (31).…”

“…Over the past few decades exploring solutions in extended theories of gravity especially in the f(R) theory of gravity has remained a key subject for the researchers. A brief picture of work in this era is given here, Taṣer, [33] found some Bianchi type I cosmological models with the help of conformal symmetry in the f(R) theory of gravity. Same authors [34] discussed Chaplygin gas solutions of static spherically symmetric space-times via conformal symmetry in the f (R) theory of gravity.…”

“…,[33] found some Bianchi type I cosmological models with the help of conformal symmetry in the f(R) theory of gravity. Same authors[34] discussed Chaplygin gas solutions of static spherically symmetric space-times via conformal symmetry in the f (R) theory of gravity.…”