Publication: An infinite class of exact rotating black hole metrics of modified gravity
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2022-03
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IOP Publishing
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Abstract
We build an infinite class of exact axisymmetric solutions of a metric-affine gravity theory, namely, Eddington-inspired Born-Infeld gravity, coupled to an anisotropic fluid as a matter source. The solution-generating method employed is not unique of this theory but can be extended to other Ricci-Based Gravity theories (RBGs), a class of theories built out of contractions of the Ricci tensor with the metric. This method exploits a correspondence between the space of solutions of General Relativity and that of RBGs, and is independent of the symmetries of the problem. For the particular case in which the fluid is identified with non-linear electromagnetic fields we explicitly derive the corresponding axisymmetric solutions. Finally, we use this result to work out the counterpart of the Kerr-Newman black hole when Maxwell electrodynamics is set on the metric-affine side. Our results open up an exciting new avenue for testing new gravitational phenomenology in the fields of gravitational waves and shadows out of rotating black holes.
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© 2022 IOP Publishing Ltd
DRG is funded by the Atraccion de Talento Investigador programme of the Comunidad de Madrid (Spain) No. 2018-T1/TIC-10431. This work is supported by the Spanish Grants FIS2017-84440-C2-1-P, PID2019-108485GB-I00 and PID2020-116567GBC21 funded by MCIN/AEI/10.13039/501100011033 ("ERDF A way of making Europe" and "PGC Generacion de Conocimiento"), the project PROMETEO/2020/079 (Generalitat Valenciana), the project H2020-MSCA-RISE-2017 Grant FunFiCO-777740, the project iCOOPB20462 (CSIC), the FCT projects No. PTDC/FIS-PAR/31938/2017 and PTDC/FISOUT/29048/2017, and the Edital 006/2018 PRONEX (FAPESQ-PB/CNPQ, Brazil, Grant 0015/2019). VIA thanks the Theoretical Physics Department of the Complutense University of Madrid for kind hospitality while doing this work. This article is based upon work from COST Action CA18108, supported by COST (European Cooperation in Science and Technology).