Static spherically symmetric solutions of the f(R) gravity

Abstract

Static spherically symmetric (SSS) solutions of f(R) gravity are studied in the Einstein frame. The solutions involve SSS configuration mass M and scalaron mass $\mu$ (in geometrized units); for typical astrophysical masses, the dimensionless parameter $M\mu$ has very large value. We found analytic solutions on a finite interval for $M\mu \to \infty$ in case of a family of scalaron potentials. The asymptotically flat solutions on $(0,\infty )$ have been studied numerically for $M\mu$ up to $10^{20}$ in case of the quadratic f(R) model.

This is a different version of arXiv:2412.03759 (the title has changed); this will be replaced by new version with different title