Regular black holes from analytic

Zhi-Chao Li; H. Lü

doi:10.1140/epjc/s10052-023-11908-x

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 755
https://doi.org/10.1140/epjc/s10052-023-11908-x

Regular Article - Theoretical Physics

Regular black holes from analytic $f (F^{2})$

Zhi-Chao Li¹ and H. Lü¹^,2^b

¹ Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 300350, Tianjin, China
² Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, 350207, Binhai New City, Fuzhou, China

^b mrhonglu@gmail.com

Received: 31 May 2023
Accepted: 6 August 2023
Published online: 29 August 2023

Abstract

We construct regular black holes and horizonless spacetimes that are geodesically complete and satisfy the dominant energy condition from Einstein- $f (F^{2})$ $$f(F^2)$$ 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 ( $g_{tt} g_{rr} = - 1$ $g_{tt} g_{rr}=-1$ ) 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 $f (F^{2})$ $$f(F^2)$$ . 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 horizonless or black hole repulsons.

© The Author(s) 2023

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