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Robust approach to f(R) gravity

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arxiv 1006.5747 v3 pith:HC6ANELT submitted 2010-06-30 gr-qc astro-ph.COhep-th

Luisa G. Jaime , Leonardo Patino , Marcelo Salgado This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords approachgravityavoidscertainclassconsidercontroversycounterpart
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We consider metric f(R) theories of gravity without mapping them to their scalar-tensor counterpart, but using the Ricci scalar itself as an "extra" degree of freedom. This approach avoids then the introduction of a scalar-field potential that might be ill defined (not single valued). In order to explicitly show the usefulness of this method, we focus on static and spherically symmetric spacetimes and deal with the recent controversy about the existence of extended relativistic objects in certain class of f(R) models.

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Cited by 2 Pith papers

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

  1. An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field

    gr-qc 2025-09 reject novelty 4.0 of 10

    A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versu...

  2. 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.

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