Dynamical scalar hair formation around a Schwarzschild black hole

Benkel, Robert; Sotiriou, Thomas P.; Witek, Helvi

Abstract

Scalar fields coupled to the Gauss-Bonnet invariant evade the known no-hair theorems and have nontrivial configurations around black holes. We focus on a scalar field that couples linearly to the Gauss-Bonnet invariant and hence exhibits shift symmetry. We study its dynamical evolution and the formation of scalar hair in a Schwarzschild background. We show that the evolution eventually settles to the known static hairy solutions in the appropriate limit.

• Journal Article Type: Article
• Acceptance Date: Nov 22, 2016
• Publication Date: Dec 28, 2016
• Deposit Date: Feb 27, 2017
• Publicly Available Date: Feb 27, 2017
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 94
• Issue: 12
• DOI: https://doi.org/10.1103/PhysRevD.94.121503
• Public URL: https://nottingham-repository.worktribe.com/output/831925
• Publisher URL: http://journals.aps.org/prd/abstract/10.1103/PhysRevD.94.121503