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Consistency Condition of Spherically Symmetric Solutions in $f(R)$ Gravity

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arxiv 0710.5635 v3 pith:DXFEWUMS submitted 2007-10-30 astro-ph

Reza Saffari , Sohrab Rahvar This is my paper · ORCID
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keywords gravitysymmetricconditionmetricsolutionssphericalcaseconsistency
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abstract

In this work we study the spherical symmetric solutions of $f(R)$ gravity in the metric formalism. We show that for a generic $f(R)$ gravity, the spherical symmetric solution is consistent with the modified gravity equations except in the case of imposing an extra condition for the metric.

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  1. Scalaron-modified null focusing and radial monotonicity in static f(R) gravity

    gr-qc 2026-08 accept novelty 5.0 of 10

    In static f(R) gravity, the sign of an effective matter-plus-scalaron convergence term determines whether the radial metric ratio B/A increases or decreases, and equal endpoint values force the term to vanish.

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