Abstract
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.
Highlights
Among the many known exact solutions of the field equations of Einstein’s General Relativity (GR), only a handful are known to carry actual physical meaning [1]
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
The low supply of exact rotating solutions available in the literature of modified theories of gravity might prevent to test in detail the predictions of the modifications of GR using the full power of the observational machinery already available
Summary
Among the many known exact solutions of the field equations of Einstein’s General Relativity (GR), only a handful are known to carry actual physical meaning [1]. In this work we shall use the Kerr-Newman solution of GR as the seed to obtain the corresponding solution in the RBG side, for which we choose the Eddingtoninspired Born-Infeld (EiBI) theory of gravity [46]. This pick is motivated due to the many applications of this model in astrophysics and cosmology [47,48,49,50,51,52,53,54,55,56,57,58] (see [59] for a review).
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