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Exact charged black hole solutions in D-dimensions in f(R) gravity

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arxiv 1911.06988 v2 pith:XW5WFIUY submitted 2019-11-16 gr-qc hep-th

classification gr-qchep-th
keywords blackholesolutiond-dimensionsgravitychargedcurvaturegeneral
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We consider Maxwell-f(R) gravity and obtain an exact charged black hole solution with dynamic curvature in D-dimensions. Considering a spherically symmetric metric ansatz and without specifying the form of f(R) we fnd a general black hole solution in D-dimensions. This general black hole solution can be reduced to the Reissner-Nordstr\"om (RN) black hole in D-dimensions in Einstein gravity and to the known charged black hole solutions with constant curvature in f(R) gravity. Restricting the parameters of the general solution we get polynomial solutions which reveal novel properties when compared to RN black holes. Specifcally we study the solution in (3 + 1)-dimensions in which the form of f(R) can be solved explicitly giving a dynamic curvature and compare it with the RN black hole. We also carry out a detailed study of its thermodynamics.

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

  1. Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity

    gr-qc 2026-08 accept novelty 6.0 of 10

    In spherical f(R) gravity, a regular outer horizon followed by an ingoing segment with mixed matter-scalaron source at or below F/r^2 cannot be followed by a second regular inner marginal horizon on the same generator.

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