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Finch-Skea solutions of anisotropic stellar models in \(f(R)\) gravity

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Abstract

Present paper deals with the composition and modelling of compact dense astrophysical bodies under the framework of \(f(R)\) gravity. The model is employed on various observed strange stars viz., SMC X-1, SAX J1808.4-3658, Swift J1818.0-1607, PSR J1614-2230 and PSR J0348+0432. Upon setting the appropriate value of dimensionless coupling parameter \(\lambda \), the physical parameters such as the density, the radial and tangential pressures were obtained. Mass-Radius relation without presuming any equation of state is capable enough to accommodate all strange stars nearly having solar mass up to 2.5. The physical viability of the model is examined for all the aforementioned stars and it is found that all the regularity and stability conditions are satisfied.

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Notes

  1. The surface redshift condition and Buchdahl’s condition are mentioned in Sects. 4.6 and 4.4 respectively.

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Acknowledgements

The authors are grateful to Pandit Deendayal Petroleum University, Gandinagar, India, and the Ludwig-Maximilians Universität, München, Germany, for providing a strong platform to discuss, ruminate upon and bring the manuscript to a physical fruition.

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Authors and Affiliations

  1. Department of Mathematics, Pandit Deendayal Petroleum University, Raisan, Gandhinagar, 382 007, India

    D. M. Pandya

  2. Department of Physics, Pandit Deendayal Petroleum University, Raisan, Gandhinagar, 382 007, India

    B. Thakore, R. B. Goti & S. Shah

  3. Department of Information and Communication Technology, Pandit Deendayal Petroleum University, Raisan, Gandhinagar, 382 007, India

    H. N. Pandya

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  1. D. M. Pandya
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  2. B. Thakore
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  3. R. B. Goti
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  4. S. Shah
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  5. H. N. Pandya
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Correspondence to D. M. Pandya.

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Pandya, D.M., Thakore, B., Goti, R.B. et al. Finch-Skea solutions of anisotropic stellar models in \(f(R)\) gravity. Astrophys Space Sci 366, 95 (2021). https://doi.org/10.1007/s10509-021-04000-x

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  • DOI: https://doi.org/10.1007/s10509-021-04000-x

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