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Compact stellar objects in \(f({\mathfrak {R}}\), \({{\varvec{\mathbb {T}}}}^{2})\) gravity

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Abstract

The main motivation of this paper is to examine the viability and stability of compact stellar objects with isotropic matter configuration in \(f({\mathfrak {R}},{\mathbb {T}}^{2})\) theory. For this reason, we take a static spherical metric in the inner and modified spherically symmetric vacuum solution in the outer region of a star. We use Krori–Barua solutions and consider three viable models of this theory to analyze the physical characteristics of Vela X-1, SAX J 1808.4-3658 and 4U 1820-30 compact star candidates. We then investigate the behavior of energy density, pressure, equation-of-state parameters and energy bounds in the inner region of these stellar objects. The stability of these stellar models is also examined via causality condition and adiabatic index. It is found that the obtained results are consistent with the observational data indicating that this modified theory is viable.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, Lahore, Pakistan

    M Sharif & M Zeeshan Gul

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  1. M Sharif
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  2. M Zeeshan Gul
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Correspondence to M Sharif.

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Sharif, M., Gul, M.Z. Compact stellar objects in \(f({\mathfrak {R}}\), \({{\varvec{\mathbb {T}}}}^{2})\) gravity. Pramana - J Phys 97, 122 (2023). https://doi.org/10.1007/s12043-023-02598-x

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  • DOI: https://doi.org/10.1007/s12043-023-02598-x

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