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Axially symmetric solutions in f(R)-gravity

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arxiv 0912.5286 v2 pith:4C2PAKAZ submitted 2009-12-29 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords solutionsaxiallygeneralgravitysymmetricachievedadvantageapproach
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Axially symmetric solutions for f (R)-gravity can be derived starting from exact spherically sym- metric solutions achieved by Noether symmetries. The method takes advantage of a complex coordi- nate transformation previously developed by Newman and Janis in General Relativity. An example is worked out to show the general validity of the approach. The physical properties of the solution are also considered.

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Cited by 1 Pith paper

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  1. 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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