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Regular Black Holes and Stars from Analytic $f(F^2)$

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arxiv 2303.16924 v3 pith:TA6XRH65 submitted 2023-03-29 gr-qc hep-th

Zhi-Chao Li , H. Lu This is my paper
classification gr-qchep-th
keywords blackholesregularconditionenergystarsanalyticduality
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abstract

We construct regular black holes and stars that are geodesically complete and satisfy the dominant energy condition from Einstein-$f(F^2)$ gravities with several classes of analytic $f(F^2)$ functions that can be viewed as perturbations to Maxwell's theory in weak field limit. We establish that regular black holes with special static metric ($g_{tt} g_{rr}=-1$) violate the strong energy condition and such a regular black hole with Minkowski core violates the null energy condition. We develop a formalism to perform electromagnetic duality transformations in $f(F^2)$. We obtain two new explicit examples where the duality is a symmetry. We study the properties of the corresponding dyonic black holes. We study the geodesic motions of a particular class of solutions that we call repulson stars or black holes.

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Cited by 3 Pith papers

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

  1. Classification of Oppenheimer-Snyder Collapse: Singular, Bouncing, and Soft-Landing Scenarios

    gr-qc 2026-02 conditional novelty 7.0 of 10

    Generalized Oppenheimer-Snyder collapse into two-horizon exteriors splits into singular, bouncing, and soft-landing categories, with Reissner-Nordström showing the bounce and regular de Sitter-core black holes never doing so.

  2. Black Hole Entropy Bounded by the Specific Heat

    gr-qc 2025-07 conditional novelty 7.0 of 10

    A conjectured inequality bounding black hole entropy by its specific heat is proven for a special static class and verified for many rotating and charged black holes.

  3. First Law for Nonsingular Black Holes in 2D Dilaton Gravity

    gr-qc 2026-03 reject novelty 4.0 of 10

    For 2D nonsingular dilaton black holes with A=f+c, the first law holds with energy E=-c/2 once the asymptotic time translation is properly normalized.

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