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Black hole hair in generalized scalar-tensor gravity

Sotiriou, Thomas; Zhou, Shuang-Yong

Authors

THOMAS SOTIRIOU Thomas.Sotiriou@nottingham.ac.uk
Professor of Gravitational Physics

Shuang-Yong Zhou



Abstract

The most general action for a scalar field coupled to gravity that leads to second-order field equations for both the metric and the scalar—Horndeski’s theory—is considered, with the extra assumption that the scalar satisfies shift symmetry. We show that in such theories, the scalar field is forced to have a nontrivial configuration in black hole spacetimes, unless one carefully tunes away a linear coupling with the Gauss-Bonnet invariant. Hence, black holes for generic theories in this class will have hair. This contradicts a recent no-hair theorem which seems to have overlooked the presence of this coupling.

Journal Article Type Article
Acceptance Date Jun 10, 2014
Publication Date Jun 26, 2014
Deposit Date Mar 8, 2018
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 112
Issue 25
Article Number 251102
DOI https://doi.org/10.1103/PhysRevLett.112.251102
Public URL https://nottingham-repository.worktribe.com/output/1101328
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.251102
PMID 00033828