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 μ (in geometrized units); for typical astrophysical masses, the dimensionless parameter Mμ has very large value. We found analytic solutions on a finite interval for Mμ ∞ in case of a family of scalaron potentials. The asymptotically flat solutions on (0,∞) have been studied numerically for Mμ up to 1020 in case of the quadratic f(R) model.
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