Bopp–Podolsky black holes and the no-hair theorem

• Autor(a) principal: Medeiros, Léo Gouvêa
• Data de Publicação: 2018
• Outros Autores: Cuzinatto, R.R., Melo, C.A.M., Pimentel, B.M., Pompeia, P.J.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UFRN
• Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/29898
• topic: Bopp–Podolsky; Black holes; The no-hair theorem

Bopp–Podolsky electrodynamics is generalized to curved space-times. The equations of motion are writ- ten for the case of static spherically symmetric black holes and their exterior solutions are analyzed using Bekenstein’s method. It is shown that the solutions split up into two parts, namely a non-homogeneous (asymptotically massless) regime and a homogeneous (asymptotically massive) sector which is null outside the event horizon. In addition, in the simplest approach to Bopp–Podolsky black holes, the non-homogeneous solutions are found to be Maxwell’s solutions leading to a Reissner–Nordström black hole. It is also demonstrated that the only exterior solution consistent with the weak and null energy conditions is the Maxwell one. Thus, in the light of the energy conditions, it is concluded that only Maxwell modes propagate outside the horizon and, therefore, the no-hair theorem is satisfied in the case of Bopp–Podolsky fields in spherically symmetric space-times