A no-hair theorem for black holes in f(R) gravity. (27th December 2017)

• Record Type: Journal Article
• Authors: Cañate, Pedro
• Is Part Of: Classical and quantum gravity. Volume 35:Number 2(2018:Jan.)
• Publication Date: 2017-12-27
• Subjects: modified theories of gravity -- no-hair theorems -- black-hole solutions; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/aa8e2e
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: 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.