Some Bianchi Type Cosmological Models in f(R) Gravity
M. Farasat Shamir
TL;DR
This paper investigates exact vacuum solutions in Bianchi type I, III, and Kantowski-Sachs spacetimes within f(R) gravity, analyzing their physical properties and Ricci scalar functions.
Contribution
It provides new exact solutions for anisotropic cosmological models in f(R) gravity using a specific proportionality condition between expansion and shear.
Findings
Derived explicit metric solutions for Bianchi types I, III, and Kantowski-Sachs.
Analyzed physical behavior and evolution of these models.
Evaluated Ricci scalar functions for each solution.
Abstract
The modified theories of gravity, especially the f(R) gravity, have attracted much attention in the last decade. In this context, we study the exact vacuum solutions of Bianchi type I, III and Kantowski-Sachs spacetimes in the metric version of f(R) gravity. The field equations are solved by taking expansion scalar theta proportional to shear scalar sigma which gives A=B^n, where A and B are the metric coefficients. The physical behavior of the solutions has been discussed using some physical quantities. Also, the function of the Ricci scalar is evaluated in each case.
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