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Kantowski–Sachs perfect fluid cosmological model in \(R^2\)- Gravity

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Abstract

In the present study, the Kantowski–Sachs perfect fluid cosmological model in modified theory suggested by Harko et al. [1] is obtained. In this paper, the functional form \(f(R,T)=f_1(R)+f_2(T)\)=\(R + \alpha R^2 +\lambda T\) of f(R, T) gravity where \(\alpha\) and \(\lambda\) are constants, R is Ricci scalar, and T is the trace of energy–momentum tensor is considered. To get the solutions to the field equations, the following two conditions are used: (i) hybrid expansion law of the scale factor and (ii) expansion scalar is proportional to the shear scalar. We have computed dynamical and physical parameters, and their relevance to modern cosmology is also explained with the help of their plots. For various values of \(\alpha _1\) and a fixed value of \(\alpha _2\), it is noticed that the pressure is negative, whereas energy density is positive representing the accelerating universe. We have observed that NEC is satisfied for all the values of \(\alpha _1\) and a fixed value of \(\alpha _2\), which results in the quintessence region of the EoS parameter. The stability of the solutions of the obtained model is verified using the perturbation technique. Finally, all cosmological parameters are compatible with recent observational data.

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Authors and Affiliations

  1. Department of Applied Mathematics, AUCST, Andhra University, Visakhapatnam, India

    T. Vinutha, K. Venkata Vasavi, K. Niharika & G. Satyanarayana

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  1. T. Vinutha
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  2. K. Venkata Vasavi
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  3. K. Niharika
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  4. G. Satyanarayana
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Vinutha, T., Vasavi, K.V., Niharika, K. et al. Kantowski–Sachs perfect fluid cosmological model in \(R^2\)- Gravity. Indian J Phys 97, 1621–1632 (2023). https://doi.org/10.1007/s12648-022-02470-5

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