Artículos de revistas
Bopp-Podolsky black holes and the no-hair theorem
Fecha
2018-01-19Registro en:
European Physical Journal C. New York: Springer, v. 78, n. 1, 9 p., 2018.
1434-6044
10.1140/epjc/s10052-018-5525-6
WOS:000423200800001
WOS000423200800001.pdf
Autor
McGill Univ
Univ Fed Alfenas
Universidade Estadual Paulista (Unesp)
Univ Fed Rio Grande do Norte
Inst Tecnol Aeronaut
Institución
Resumen
Bopp-Podolsky electrodynamics is generalized to curved space-times. The equations of motion are written 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-Nordstrom 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.