Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach

A. Stabile; A. Troisi; S. Capozziello

Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach

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arxiv gr-qc/0703067 v1 pith:RZ4TDKFO submitted 2007-03-12 gr-qc

S. Capozziello , A. Stabile , A. Troisi This is my paper · ORCID

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keywords solutionssymmetryapproachgravitynoethersphericallysymmetricconsidering

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We search for spherically symmetric solutions of f(R) theories of gravity via the Noether Symmetry Approach. A general formalism in the metric framework is developed considering a point-like f(R)-Lagrangian where spherical symmetry is required. Examples of exact solutions are given.

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Black holes and their shadows in $F(R)$ gravity
gr-qc 2024-12 reject novelty 4.0 of 10

In F(R) gravity, the black hole shadow shift is controlled by a free perturbing function, so matching the M87* and Sgr A* shadow sizes reduces to fitting that function.

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