An infinite class of exact rotating black hole metrics of modified gravity

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-Ba...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2022-03, Vol.2022 (3), p.52
Main Authors: Afonso, Victor I., Mora-Pérez, Gerardo, Olmo, Gonzalo J., Orazi, Emanuele, Rubiera-Garcia, Diego
Format: Article
Language:English
Subjects:
Anisotropic fluids
Black holes
black holes and black hole thermodynamics in GR and beyond
Electrodynamics
Electromagnetic fields
Exact solutions
Gauss-Bonnet-Lovelock-Horndeski-Palatini etc gravity theories
Gravitational waves
modified gravity
Phenomenology
Relativity
Rotation
Tensors
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Summary: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.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2022/03/052