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Stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity

Silva, Hector O.; Macedo, Caio F. B.; Sotiriou, Thomas P.; Gualtieri, Leonardo; Sakstein, Jeremy; Berti, Emanuele

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Authors

Hector O. Silva

Caio F. B. Macedo

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

Leonardo Gualtieri

Jeremy Sakstein

Emanuele Berti



Contributors

Abstract

Scalar-tensor theories of gravity where a new scalar degree of freedom couples to the Gauss-Bonnet invariant can exhibit the phenomenon of spontaneous black hole scalarization. These theories admit both the classic black hole solutions predicted by general relativity as well as novel hairy black hole solutions. The stability of hairy black holes is strongly dependent on the precise form of the scalar-gravity coupling. A radial stability investigation revealed that all scalarized black hole solutions are unstable when the coupling between the scalar field and the Gauss-Bonnet invariant is quadratic in the scalar, whereas stable solutions exist for exponential couplings. Here, we elucidate this behavior. We demonstrate that, while the
quadratic term controls the onset of the tachyonic instability that gives rise to the black hole hair, the higherorder coupling terms control the nonlinearities that quench that instability and, hence, also control the stability of the hairy black hole solutions.

Journal Article Type Article
Acceptance Date Feb 20, 2019
Online Publication Date Mar 12, 2019
Publication Date Mar 12, 2019
Deposit Date Mar 26, 2019
Publicly Available Date Mar 29, 2019
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 99
Issue 6
Article Number 064011
Pages 1-9
DOI https://doi.org/10.1103/physrevd.99.064011
Keywords General Relativity and Quantum Cosmology; High Energy Astrophysical Phenomena; High Energy Physics - Theory
Public URL https://nottingham-repository.worktribe.com/output/1688310
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.99.064011

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