Eur.Phys.J.C, 83, 755 (2023)

Regular black holes from analytic f(F2)

Zhi-Chao Li¹and Hong Lü^1,2

1 Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.

2 Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China.

* mrhonglu@gmail.com

Abstract

We construct regular black holes and stars that are geodesically complete and satisfy the dominant energy condition from Einstein-f(F2) gravities with several classes of analytic f(F2) functions that can be viewed as perturbations to Maxwells theory in weak eld limit. We establish that regular black holes with special static metric (gttgrr = 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(F2). 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.