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

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.

38 pages, 14 figures, 2 appendices. Class. Quantum Grav (2025)

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Cited by in corpus (1)

• Asymptotic Schwarzschild solutions in $f(R)$ gravity and their observable effects on the photon sphere of black holes