A no-hair theorem for black holes in f(R) gravity

In this work we present a no-hair theorem which discards the existence of four-dimensional asymptotically flat, static and spherically symmetric or stationary axisymmetric, non-trivial black holes in the frame of f (R) gravity under metric formalism. Here we show that our no-hair theorem also can di...

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Autores:
Tipo de recurso:
Fecha de publicación:
2018
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/8892
Acceso en línea:
https://hdl.handle.net/20.500.12585/8892
Palabra clave:
Black-hole solutions
Modified theories of gravity
No-hair theorems
Rights
restrictedAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description
Summary:In this work we present a no-hair theorem which discards the existence of four-dimensional asymptotically flat, static and spherically symmetric or stationary axisymmetric, non-trivial black holes in the frame of f (R) gravity under metric formalism. Here we show that our no-hair theorem also can discard asymptotic de Sitter stationary and axisymmetric non-trivial black holes. The novelty is that this no-hair theorem is built without resorting to known mapping between f (R) gravity and scalar-tensor theory. Thus, an advantage will be that our no-hair theorem applies as well to metric f (R) models that cannot be mapped to scalar-tensor theory. © 2017 IOP Publishing Ltd.