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Transit cosmological models with perfect fluid and heat flow in Sáez-Ballester theory of gravitation

  • Umesh Kumar Sharma
  • Rashid ZiaEmail author
  • Anirudh Pradhan
Article
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Abstract

In this paper, the Bianchi-V universe has been applied to the transitional universe. Exact solutions of Einstein’s modified field equations in the framework of Sáez-Ballester theory are obtained with heat conduction and perfect fluid. We have applied the hybrid expansion law for the average scale factor \(a = k t^{\alpha }e^{\beta t}\), (where \(\alpha \ge 0\), \(k > 0\), and \(\beta \ge 0\) are constants). This results into a new class of transit models from decelerating universe to the current accelerating universe. The present work also elucidates some of the physical, geometric and kinematic properties of the universe and found them in good agreement with recent observations.

Keywords

Sáez-Ballester theory Bianchi type-V space-time Exact solutions Transit universe 
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Notes

Acknowledgements

The authors sincerely acknowledge the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, for providing facility where part of this work was completed during a visit. The authors also thank the editor and the anonymous referee for valuable comments which have improved the paper in present form.

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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  • Umesh Kumar Sharma
    • 1
  • Rashid Zia
    • 1
    Email author
  • Anirudh Pradhan
    • 1
  1. 1.Department of MathematicsGLA UniversityMathuraIndia

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