Non-Vacuum Bianchi Types I and V in f(R) Gravity

Abstract

In a recent paper \cite{1}, we have studied the vacuum solutions of Bianchi types I and V spacetimes in the framework of metric f(R) gravity. Here we extend this work to perfect fluid solutions. For this purpose, we take stiff matter to find energy density and pressure of the universe. In particular, we find two exact solutions in each case which 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 has been discussed using some physical quantities. Also, the function of the Ricci scalar is evaluated.

15 pages, accepted for publication in Gen. Realtiv. Gravit

References in corpus (7)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Cylindrical solutions in metric f(R) gravity
• Accelerating Universe in Modified Theories of Gravity
• Absorption cross section of RN black hole

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• Cylindrically Symmetric Solutions in $f(R,T)$ Gravity
• Gravitational Dust Collapse in $f(R)$ Gravity
• Exploring Plane Symmetric Solutions in $f(R)$ Gravity
• Energy conditions in a modified Brans-Dicke theory
• Exact analytical vacuum solutions of $R^n$-gravity model depending on two variables