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

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

2010-05-17

arxiv.org/abs/1005.2798v1

Gen. Rel. Grav.42:2643-2655, 2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1007/s10714-010-1005-5

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.

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