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ARPN Journal of Science and Technology >> Volume 7, Issue 2, November 2017

ARPN Journal of Science and Technology


Accelerating Bianchi Type-I Universe with Time Varying G and Λ-term in General Relativity

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Author Anirudh Pradhan, Lalji Singh Yadav, Lal Jee Yadav
ISSN 2225-7217
On Pages 422-429
Volume No. 3
Issue No. 4
Issue Date May 01, 2013
Publishing Date May 01, 2013
Keywords Cosmology, Bianchi type-I universe, Variable cosmological parameters, ΛCDM model PACS number: 98.80.Es, 98.80.-k



Abstract

The physical behaviour of cosmological solutions to Einsteinís field equations for a spatially and anisotropic Bianchi type-I space-time has been investigated by taking into account the effect of time varying cosmological parameters viz., gravitational constant (G), cosmological constant (Λ) and deceleration parameter (DP) q. The concept of time dependent DP with some suitable assumption provides the average scale factor a = sinh^ 1/n (αT), where n and α are positive constants. For 0 < n <= 1, this generates a class of accelerating models while for n > 1, the models exhibit phase transition from early decelerating phase to present accelerating phase which is in good agreement with recent astrophysical observations. The cosmological constant Λ is found to be a decreasing function of time and it approaches a small positive value at the present epoch which is corroborated by consequences from recent supernovae Ia observations. From recently developed Statefinder pair, the behaviour of different stages of the evolution of the universe has been studied. The physical and geometric significances of the cosmological models have also been discussed.


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