Static spherically symmetric solutions of the f(R) gravity

2025/03/13 by V. I. Zhdanov, Zhdanov, V. I.
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements

paper · pdf · doi:10.48550/arxiv.2503.10850

openalex publication_date 2025/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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