Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-06-22
Astrophys. Space Sci.330:183-189, 2010; Astrophys.Space Sci.330:183-189,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, accepted for publication in Astrophys. Space Sci
Scientific paper
10.1007/s10509-010-0371-5
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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