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Bianchi type VI0 cosmological model with electromagnetic field and variable deceleration parameter in general theory of relativity

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Abstract

Bianchi type VI0 cosmological model in the presence of the electromagnetic field in the theory of relativity is studied. For the current flow along z-axis, \(F_{12}\) is the only nonvanishing component of \(F_{ij}\) (the magnetic field). An exact solution of the field equations is given by considering the deceleration parameter as a linear function of t in the form \(q= -1+m-kt\) where m and k are constants. The entropy \({\mathbf {S}} \) and the thermodynamic functions (enthalpy, Gibbs energy and Helmholtz energy) of the universe are calculated and studied. Also, physical and geometrical properties of our models are studied.

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Acknowledgements

FR is grateful to the Inter-University Center for Astronomy and Astrophysics (IUCAA), India, for providing Associateship Programme. FR is thankful for DST, Govt. of India, and Jadavpur University for providing financial support.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Minia University, El-Minia, 61519, Egypt

    E. A. Hegazy

  2. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India

    Farook Rahaman

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  1. E. A. Hegazy
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  2. Farook Rahaman
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Correspondence to E. A. Hegazy.

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Hegazy, E.A., Rahaman, F. Bianchi type VI0 cosmological model with electromagnetic field and variable deceleration parameter in general theory of relativity. Indian J Phys 94, 1847–1852 (2020). https://doi.org/10.1007/s12648-019-01614-4

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