2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187954We study the interior spacetimes of stars in the Palatini formalism of f(R) gravity and derive a generalized Tolman-Oppenheimer-Volkoff and mass equation for a static, spherically symmetric star. We show that matching the interior solution with the exterior Schwarzschild-De Sitter solution in general gives a relation between the gravitational mass and the density profile of a star, which is different from the one in General Relativity. These modifications become neglible in models for which $δF(R) \equiv \partial f/\partial R - 1$ is a decreasing function of R however. As a result, both Solar System constraints and stellar dynamics are perfectly consistent with $f(R) = R - μ^4/R$.Published version, 6 pages, 1 figureGeneral Relativity and Quantum CosmologyAstrophysicsThe interior spacetimes of stars in Palatini f(R) gravitytext