Exact Solutions of Bianchi Types I and V Spacetimes in f(R) Theory of Gravity

2009/10/30 by M. Sharif, M. Farasat Shamir · 1 citation
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1088/0264-9381/26/23/235020

published as Class.Quant.Grav.26:235020,2009 · 16 pages, accepted for publication in Class. Quantum Grav

arxiv created 2009/10/30 · arxiv updated 2010/05/07

Abstract

In this paper, the crucial phenomenon of the expansion of the universe has been discussed. For this purpose, we study the vacuum solutions of Bianchi types I and V spacetimes in the framework of f(R) gravity. In particular, we find two exact solutions in each case by using the variation law of Hubble parameter. These solutions correspond to two models of the universe. The first solution gives a singular model while the second solution provides a non-singular model. The physical behavior of these models is discussed. Moreover, the function of the Ricci scalar is evaluated for both the models in each case.

Cited by

• Anisotropic dark energy Bianchi type III cosmological models in the Brans–Dicke theory of gravity

Related

• Exact Solutions of Bianchi Types I and V Models in f(R,T) Gravity
• Bianchi type-I Universe with Cosmological constant and quadratic equation of state in f(R,T) modified gravity
• F(T) Models within Bianchi Type I Universe
• F(R,..) theories from the point of view of the Hamiltonian approach: non-vacuum Anisotropic Bianchi type I cosmological model
• Dynamics of a Vacuum Bianchi Type V Universe with an Arbitrary Cosmological Constant