Nonsingular black holes in nonlinear gravity coupled to EulerHeisenberg electrodynamics
Abstract
We study static, spherically symmetric black holes supported by the EulerHeisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic f (R ) model and Eddingtoninspired BornInfeld gravity, both formulated in metricaffine spaces, where the metric and affine connection are independent fields. We find exact solutions of the corresponding field equations in both cases, characterized by mass, charge, the EulerHeisenberg coupling parameter, and the modified gravity one. For each such family of solutions, we characterize its horizon structure and the modifications in the innermost region, finding that some subclasses are geodesically complete. The singularity regularization is achieved under two different mechanisms: either the boundary of the manifold is pushed to an infinite affine distance, not being able to be reached in finite time by any geodesic, or the presence of a wormhole structure allows for the smooth extension of all geodesics overcoming the maximum of the potential barrier.
 Publication:

Physical Review D
 Pub Date:
 July 2020
 DOI:
 10.1103/PhysRevD.102.024005
 arXiv:
 arXiv:2005.08828
 Bibcode:
 2020PhRvD.102b4005G
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 14 pages, 8 figures, revtex41 style. v2: some new discussion and minor corrections. Version to appear in Phys. Rev. D