Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics

We study static, spherically symmetric black holes supported by the Euler-Heisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic f(R) model and Eddington-inspired Born-Infeld gravity, both formulated in metric-affine spaces, wh...

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Bibliographic Details
Published in:Physical review. D 2020-07, Vol.102 (2), p.1, Article 024005
Main Authors: Guerrero, Merce, Rubiera-Garcia, Diego
Format: Article
Language:English
Subjects:
Black holes
Electrodynamics
Exact solutions
Geodesy
Gravitation
Heisenberg theory
Parameter modification
Potential barriers
Regularization
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Summary:We study static, spherically symmetric black holes supported by the Euler-Heisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic f(R) model and Eddington-inspired Born-Infeld gravity, both formulated in metric-affine 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 Euler-Heisenberg 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.102.024005