2020-03-262020-03-262018Classical and Quantum Gravity; Vol. 35, Núm. 202649381https://hdl.handle.net/20.500.12585/8892In 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.Recurso electrónicoapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/article10.1088/1361-6382/aa8e2eBlack-hole solutionsModified theories of gravityNo-hair theoremsinfo:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 InternacionalUniversidad Tecnológica de BolívarRepositorio UTB55744418600