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Viscous holographic dark energy cosmological model in general relativity

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Abstract

In this article, we analyze Marder-type space-time in the framework of general relativity theory, with viscous holographic dark energy. To solve the field equations, we use the shear scalar \((\sigma )\) is proportional to the expansion scalar \((\theta )\) which leads to a relation between metric potentials and hybrid expansion law (HEL) proposed by Akarsu et al. (J Cosmol Astropart Phys 01:022, 2014). Also, we determine the cosmological parameters, namely the deceleration parameter(q), jerk parameter (j), statefinder parameters \((r-s)\), equation of state parameter (\(\omega _{\text {de}}\)) and \(\omega _{\text {de}}-\omega '_{\text {de}}\) plane for the obtained model. The derived model supports the accelerating behavior of the Universe along with the null, weak and dominant energy conditions that are obeyed by violating strong energy condition as per the present accelerated expansion.

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Authors and Affiliations

  1. Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India

    M. Vijaya Santhi & T. Chinnappalanaidu

  2. Department of Humanities and Sciences, Teegala Krishna Reddy Engineering College, Hyderabad, 500097, India

    N. Sri Lakshmi Sudha Rani

  3. Department of Mathematics, Ambo University, Ambo, Ethiopia

    Daba Meshesha Gusu

  4. Department of Basic Science and HSS, College of Engineering for Women, Andhra University, Visakhapatnam, India

    M. Nagavalli

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  1. M. Vijaya Santhi
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  2. T. Chinnappalanaidu
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  3. N. Sri Lakshmi Sudha Rani
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  4. Daba Meshesha Gusu
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  5. M. Nagavalli
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Correspondence to M. Vijaya Santhi.

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Vijaya Santhi, M., Chinnappalanaidu, T., Sudha Rani, N.S.L. et al. Viscous holographic dark energy cosmological model in general relativity. Indian J Phys 97, 1641–1653 (2023). https://doi.org/10.1007/s12648-022-02515-9

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