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Some Exact Bianchi Type V Perfect Fluid Solutions with Heat Flow

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Abstract

The variation law for generalized mean Hubble’s parameter is discussed in a spatially homogeneous and anisotropic Bianchi type V space-time with perfect fluid along with heat-conduction. The variation law for Hubble’s parameter, that yields a constant value of deceleration parameter, generates two types of solutions for the average scale factor, one is of power-law type and other one of exponential form. Using these two forms of the average scale factor, exact solutions of Einstein field equations with a perfect fluid and heat conduction are presented for a Bianchi type V space-time, which represent expanding singular and non-singular cosmological models. We find that the constant value of deceleration parameter is reasonable for the present day universe. The physical and geometrical properties of the models are also discussed in detail.

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Authors and Affiliations

  1. Department of Applied Mathematics, Delhi College of Engineering, Bawana Road, Delhi, 110 042, India

    C. P. Singh

  2. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, 2210 05, India

    Mohd Zeyauddin & Shri Ram

Authors
  1. C. P. Singh
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  2. Mohd Zeyauddin
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  3. Shri Ram
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Correspondence to C. P. Singh.

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Singh, C.P., Zeyauddin, M. & Ram, S. Some Exact Bianchi Type V Perfect Fluid Solutions with Heat Flow. Int J Theor Phys 47, 3162–3170 (2008). https://doi.org/10.1007/s10773-008-9751-9

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  • DOI: https://doi.org/10.1007/s10773-008-9751-9

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