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

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Amer Physical Soc
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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.
© 2020 American Physical Society. M. G. is funded by the predoctoral Contract No. 2018-T1/TIC-10431. D. R. G. is funded by the Atraccion de Talento Investigador programme of the Comunidad de Madrid (Spain) No. 2018-T1/TIC-10431, and acknowledges further support from the Ministerio de Ciencia, Innovacion y Universidades (Spain) Project No. PID2019-108485GB-I00/AEI/10.13039/501100011033, the Fundacao para a Ciencia e a Tecnologia (FCT, Portugal) research Projects No. PTDC/FIS-OUT/29048/2017 and No. PTDC/FIS-PAR/31938/2017, the Spanish Project No. FIS2017-84440-C2-1-P (MINECO/FEDER, EU), and the Edital 006/2018 PRONEX (FAPESQ-PB/CNPQ, Brazil) Grant No. 0015/2019. This article is based upon work from COST Actions CA15117 and CA18108, supported by COST (European Cooperation in Science and Technology).
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