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Static Spherically Symmetric Solutions in F(R) Gravity

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arxiv 1012.5230 v3 pith:EOTS6WZJ submitted 2010-12-23 gr-qc hep-lathep-th

Lorenzo Sebastiani , Sergio Zerbini This is my paper · ORCID
classification gr-qchep-lathep-th
keywords gravitysolutionsequationexactmetricssphericallystaticsymmetric
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abstract

A Lagrangian derivation of the Equation of Motion (EOM) for static spherically symmetric metrics in F(R) modified gravity is presented. For a large class of metrics, our approach permits to reduce the EOM to a single equation and we show how it is possible to construct exact solutions in $F(R)$-gravity. All known exact solutions are recovered. We also exibit a new non trivial solution with non constant Ricci scalar.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonstatic Reissner-Nordstr\"om metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation

    gr-qc 2025-02 reject novelty 4.0 of 10

    The paper claims that charged spherically symmetric sources in perturbative f(R) gravity can radiate gravitational waves through a time-dependent exterior metric.

  2. Gravitational wave constraints on corrections to Bekenstein-Hawking Area Formula in classical F(R) gravity and quantum GR : implications for theory parameters

    gr-qc 2026-07 conditional novelty 2.0 of 10

    Assuming an extra 'absolute consistency' rule, gravitational-wave validation of the area theorem forces negative entropy corrections, which restricts F(R) gravity and would rule out two axions or an axion plus a graviton.

  3. Static Spherically Symmetric Solutions in General Gauss-Bonnet Gravity

    gr-qc 2025-07 reject novelty 2.0 of 10

    For R + F(G) gravity, the paper claims two static spherical vacuum solutions: a de Sitter branch and a metric B(r) = -1 + r/(4a), with F(G) = G^(3/2) + F0.

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