Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-11-14
J.Korean Phys.Soc.55:2328-2338,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, accepted for publication in J. Korean Physical Society
Scientific paper
10.3938/jkps.55.2328
In this paper, we consider Bianchi type III and Kantowski-Sachs spacetimes and discuss the behavior of time-varying constants $G$ and $\Lambda$ by using two symmetric techniques, namely, kinematic self-similarity and matter collineation. In the kinematic self-similarity technique, we investigate the behavior of the first and the second kinds. In the matter collineation technique, we consider usual, modified, and completely modified matter collineation equations while studying the behavior of these constants. Further, we reduce the results for dust, radiation, and stiff fluids. We find that $\Lambda$ is a decreasing time function while $G$ is an increasing time function. This corresponds to the earlier results available in the literature for other spacetimes. Further, we find that the deceleration parameter attains a negative value, which shows that the expansion of the universe is accelerating.
Kausar Hafiza Rizwana
Sharif Mai
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