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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Detalles Bibliográficos
Autores: Afonso, Victor I., Mora Pérez, Gerardo, Olmo, Gonzalo J., Orazi, Emanuele, Rubiera García, Diego
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/71427
Acceso en línea:https://hdl.handle.net/20.500.14352/71427
Access Level:acceso abierto
Palabra clave:51-73
Exact solutions
Black holes and black hole thermodynamics in GR and beyond
Gauss-Bonnet-Lovelock-Horndeski-Palatini etc gravity theories
Modified gravity
Física-Modelos matemáticos
Física matemática
Descripción
Sumario: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.