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Some Bianchi I dark energy models in Brans–Dicke theory

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Abstract

The present article deals with the study of interacting and non-interacting dark energy (DE) and dark matter (DM) in the spatially homogeneous and anisotropic Bianchi I space–time within the framework of Brans–Dicke (BD) scalar–tensor theory of gravitation. As the set of field equations is not closed, exact solutions are obtained using power-law relation and assuming a linearly varying deceleration parameter. The physical acceptability and stability of the obtained model are scrutinised using energy conditions and squared speed of sound. The statefinder diagnostic method is adopted to discuss and measure the deviation of the considered model from the \(\Lambda \) cold dark matter (\(\Lambda \)CDM) model.

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Acknowledgements

The authors would like to convey appreciation towards the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, for providing the facility and hospitality where this work was partially carried out. AL and NH are grateful to Dr Binaya K Bishi for giving some valuable suggestions on the manuscript before submission. The authors would also like to express their sincere thanks to the reviewer and editor for their valuable, constructive suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, 440 010, India

    G P Singh & Ashwini R Lalke

  2. Department of Applied Mathematics, Shri Ramdeobaba College of Engineering and Management, Nagpur, 440 013, India

    Nikhil Hulke

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  1. G P Singh
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  2. Ashwini R Lalke
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  3. Nikhil Hulke
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Correspondence to G P Singh.

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Singh, G.P., Lalke, A.R. & Hulke, N. Some Bianchi I dark energy models in Brans–Dicke theory. Pramana - J Phys 94, 147 (2020). https://doi.org/10.1007/s12043-020-02022-8

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  • DOI: https://doi.org/10.1007/s12043-020-02022-8

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