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arXiv · 2403.00070

Some exact relativistic star solutions in $f(R)$ gravity

Mariam Campbell·Sante Carloni·Peter K. S. Dunsby·Nolene F. Naidu
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Abstract

We present a covariant description of non-vacuum static spherically symmetric spacetimes in $f(R)$ gravity applying the (1+1+2) covariant formalism. The propagation equations are then used to derive a covariant and dimensionless form of the Tolman-Oppenheimer-Volkoff (TOV) equations. We then give a solution strategy to these equations and obtain some new exact solutions for the particular case $f(R)=R+\alpha R^{2}$, which have the correct thermodynamic properties for standard matter.

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Mariam Campbell, Sante Carloni, Peter K. S. Dunsby, Nolene F. Naidu. 2024-02-29. Some exact relativistic star solutions in $f(R)$ gravity. https://doi.org/10.1088/1361-6382%2Fadc8f2

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