Novel hairy black hole solutions in Einstein-Maxwell-Gauss-Bonnet-scalar theory

Hunter, Callum; Smith, Douglas J

doi:10.1142/s0217751x22500452

Novel hairy black hole solutions in Einstein-Maxwell-Gauss-Bonnet-scalar theory

Hunter, Callum; Smith, Douglas J

Authors

Callum Hunter

Professor Douglas Smith douglas.smith@durham.ac.uk
Head Of Department

Abstract

It has been previously shown that a Gauss–Bonnet term nonminimally coupled to a scalar field produces a scalarised black hole solution which can be considered as having secondary scalar hair, parametrised in terms of the black hole’s mass and charge. In this paper we extend a previously investigated linear coupling of the form f(ϕ)=ϕ to a nonminimally coupled Maxwell term, with the form 18FμνFμν+βϕFμνFμν. By using numerical methods the solutions to the full differential equations are found, as well as a perturbative expansion in the r→∞ limit and a perturbative expansion in couplings parameters such as β. These solutions describe scalarised black holes with modified electric field which have dependence not only on the electric charge of the black hole, but also the value of the nonminimal coupling constant. We also discuss the bounds imposed on the parameters of the black hole by the reality condition of the solution, giving some explicit numerical bounds.

Citation

Hunter, C., & Smith, D. J. (2022). Novel hairy black hole solutions in Einstein-Maxwell-Gauss-Bonnet-scalar theory. International Journal of Modern Physics A, 37(9), Article 2250045. https://doi.org/10.1142/s0217751x22500452

Journal Article Type	Article
Acceptance Date	Feb 16, 2022
Online Publication Date	May 12, 2022
Publication Date	2022
Deposit Date	May 2, 2022
Publicly Available Date	May 12, 2023
Journal	International Journal of Modern Physics A
Print ISSN	0217-751X
Electronic ISSN	1793-656X
Publisher	World Scientific Publishing
Peer Reviewed	Peer Reviewed
Volume	37
Issue	9
Article Number	2250045
DOI	https://doi.org/10.1142/s0217751x22500452
Related Public URLs	https://arxiv.org/abs/2010.10312

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Copyright Statement
Electronic version of an article published as Hunter, Callum & Smith, Douglas J (2022). Novel hairy black hole solutions in Einstein-Maxwell-Gauss-Bonnet-scalar theory. International Journal of Modern Physics A 37(9): 2250045, 10.1142/S0217751X22500452 © copyright World Scientific Publishing Company