Rotating black holes in Eddington-inspired Born-Infeld gravity: an exact solution

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We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or mapping between modified gravity models built as scalars out of contractions of the metric with the Ricci tensor, and formulated in metric-affine spaces (Ricci-Based Gravity theories) and General Relativity. This way, starting from the Kerr-Newman solution, we show that this mapping bring us the axisymmetric solutions of Eddington-inspired Born-Infeld gravity coupled to a certain model of non-linear electrodynamics. We discuss the most relevant physical features of the solutions obtained this way, both in the spherically symmetric limit and in the fully rotating regime. Moreover, we further elaborate on the potential impact of this important technical progress for bringing closer the predictions of modified gravity with the astrophysical observations of compact objects and gravitational wave astronomy.
© 2020 IOP Publishing Ltd MG is funded by a predoctoral contract from the Comunidad de Madrid (Spain). GJO is funded by the Ramon y Cajal contract RYC-2013-13019 (Spain). DRG is funded by the Atraccion de Talento Investigador programme of the Comunidad de Madrid (Spain) No. 2018-T1/TIC-10431, and acknowledges support from the Fundacao para a Ciencia e a Tecnologia (FCT, Portugal) research grants Nos. PTDC/FIS-OUT/29048/2017 and PTDC/FISPAR/31938/2017. This work is supported by the Spanish projects FIS2017-84440-C2-1P (MINECO/FEDER, EU), i-LINK1215 (CSIC), SEJI/2017/042 (Generalitat Valenciana), the project H2020-MSCA-RISE-2017 Grant FunFiCO-777740, the Severo Ochoa grant SEV2014-0398 (Spain) and the Edital 006/2018 PRONEX (FAPESQ-PB/CNPQ, Brazil, Grant 0015/2019). This article is based upon work from COST Actions CA15117 and CA18108, supported by COST (European Cooperation in Science and Technology). The authors thank A. Cardenas-Avendano for useful discussions and comments.
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