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Anisotropic Bianchi Type-II Massive String Cosmological Models with Time-Decaying Λ Term and Thermodynamic Parameters

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Abstract

The present paper envisages a spatially homogeneous and anisotropic Bianchi II massive string cosmological models with time-decaying Λ term in general relativity. By using the variation law of Hubble’s parameter, the Einstein’s field equations have been solved for two general cases. The first case involving a power law solution describes the dynamics of universe from big bang to present epoch while the second case admit an exponential solution seems reasonable to project dynamics of future universe. We observed that massive strings dominate in early universe and eventually disappear at late time, which is consistent with the current astronomical observations. It has been found that the cosmological constant (Λ) is a decreasing function of time and it approaches to small positive value at sufficiently large time. The thermodynamic properties of anisotropic Bianchi II universe are studied and also the absolute temperature and entropy distribution are given explicitly. The relations between thermodynamic parameters and cosmological constant Λ has been established. Physical behavior of the derived model is elaborated in detail.

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Acknowledgements

Authors would like to thank Dr. Anil Kumar Yadav, A.E.C., Agra, India for fruitful discussions.

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Authors and Affiliations

  1. Department of Physics, D. D. U. Gorakhpur University, Gorakhpur, 273 009, India

    Lallan Yadav & Vineet K. Yadav

  2. Department of Applied Mathematics, I. T. B. H. U., Varanasi, 221 005, India

    T. Singh

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  1. Lallan Yadav
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  2. Vineet K. Yadav
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  3. T. Singh
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Correspondence to Lallan Yadav.

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Yadav, L., Yadav, V.K. & Singh, T. Anisotropic Bianchi Type-II Massive String Cosmological Models with Time-Decaying Λ Term and Thermodynamic Parameters. Int J Theor Phys 51, 3113–3126 (2012). https://doi.org/10.1007/s10773-012-1193-8

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