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Compact stars in \(\kappa (R,T)\) gravity

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Abstract

The study is conducted for investigation of a new solution for stellar objects in \(\kappa (R,T)\) theory. We investigate whether Krori–Barua model produces valid results in \(\kappa (R,T)\) theory. We attain field equations through Krori–Barua metric form related with geometry of inner space. From field equations, we obtain all unknown matter components \(\kappa (T)=8\pi G-\lambda T\) in the theory. Constructed model is considered with some class of compact stars such as \(4U 1820-30\), \(\mathit{SAX} J1808.4-3658\), and \(\mathit{Her} X-1\). To prove physical stability of the constructed model, we investigate both normal and effective matter form behaviors by way of some physical conditions. It is found that all conditions are valid for effective matter. Therefore, this study reveals consistency of both the compact star model and the gravitation theory. But a remarkable point is that normal matter has to face some problems in the \(\kappa (R,T)\) theory.

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Authors and Affiliations

  1. Department of Electricity and Energy, Çanakkale Onsekiz Mart University, Hulusi Damgacıog̃lu, Çanakkale, 17400, Turkey

    Dog̃ukan Taṣer

  2. Department of Occupational Health and Safety, Çanakkale Onsekiz Mart University, Hulusi Damgacıog̃lu, Çanakkale, 17400, Turkey

    Sertaç Serkan Dog̃ru

Authors
  1. Dog̃ukan Taṣer
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  2. Sertaç Serkan Dog̃ru
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Contributions

All authors wrote the manuscript half and half. Doğukan Taşer obtained field equation and solutions. Applications of solutions to 4U1820 - 30, SAXJ1808.4 - 3658 and HerX - 1 star studied by Serkan Sertaç Doğru. All authors reviewed the manuscript.

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Correspondence to Dog̃ukan Taṣer.

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Taṣer, D., Dog̃ru, S.S. Compact stars in \(\kappa (R,T)\) gravity. Astrophys Space Sci 368, 49 (2023). https://doi.org/10.1007/s10509-023-04203-4

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