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Hypersurface Homogeneous Cosmological Model in Modified Theory of Gravitation

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Astrophysics Aims and scope

We study a hypersurface homogeneous space-time in the framework of the f (R, T) theory of gravitation in the presence of a perfect fluid. Exact solutions of field equations are obtained for exponential and power law volumetric expansions. We also solve the field equations by assuming the proportionality relation between the shear scalar (σ ) and the expansion scalar (θ ). It is observed that in the exponential model, the universe approaches isotropy at large time (late universe). The investigated model is notably accelerating and expanding. The physical and geometrical properties of the investigated model are also discussed.

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Authors and Affiliations

  1. Department of Mathematics, Sant Gadge Baba Amravati University, Amravati, India

    S. D. Katore & R. J. Baxi

  2. Department of Mathematics, A.E.S.Arts, Commerce and Science College, Hingoli, India

    S. P. Hatkar

Authors
  1. S. D. Katore
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  2. S. P. Hatkar
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  3. R. J. Baxi
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Correspondence to S. D. Katore.

Additional information

Published in Astrofizika, Vol. 59, No. 4, pp. 595-608 (November 2016).

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Katore, S.D., Hatkar, S.P. & Baxi, R.J. Hypersurface Homogeneous Cosmological Model in Modified Theory of Gravitation. Astrophysics 59, 525–539 (2016). https://doi.org/10.1007/s10511-016-9455-4

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  • DOI: https://doi.org/10.1007/s10511-016-9455-4

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