Static black holes without spatial isometrics: From AdS multipoles to electrovacuum scalarization

• Autor(a) principal: Herdeiro, C. A. R.
• Data de Publicação: 2020
• Outros Autores: Radu, E.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10773/29840
• topic: General relativity; Black holes; Numerical solutions

We review recent results on the existence of static black holes (BHs) without spatial isometrics in four spacetime dimensions and propose a general framework for their study. These configurations are regular on and outside a horizon of spherical topology. Two different mechanisms allowing for their existence are identified. The first one relies on the presence of a solitonic limit of the BHs; when the solitons have no spatial isometrics, the BHs, being a nonlinear bound state between the solitons and a horizon, inherit this property. The second one is related to BH scalarization, and the existence of zero modes of the scalar field without isometrics around a spherical horizon. When the zero modes have no spatial isometrics, the back-reaction of their nonlinear continuation makes the scalarized BHs inherit the absence of spatial continuous symmetries. A number of general features of the solutions are discussed together with possible generalizations.