Some static spherically symmetric interior solutions of $f(R)$ gravity

Ali Shojai; Fatimah Shojai

Some static spherically symmetric interior solutions of $f(R)$ gravity

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arxiv 1109.2190 v1 pith:WY3U3IUJ submitted 2011-09-10 gr-qc

Ali Shojai , Fatimah Shojai This is my paper · ORCID

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keywords interiorsolutionsolutionssomesphericallystarstaticsymmetric

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abstract

We have found some new exact static spherically symmetric interior solutions of metric $f(R)$ gravitational theories describing the equilibrium configuration of a star. Then the solution is matched to the exterior solution and thus gives a complete description of a star in $R^{1-n/2}$ theory.

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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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