Abstract
AbstractWe 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 $$f(F^2)$$
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.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)