Spherically symmetric charged black holes with wavy scalar hair
Y. Brihaye (Universit\'e de Mons, Belgium), B. Hartmann (University, College London, UK)
TL;DR
This paper discovers new spherically symmetric charged black hole solutions with oscillating scalar hair in Einstein-Maxwell theory, showing how scalar fields can form wave-like structures around black holes.
Contribution
It introduces previously unnoticed black hole solutions with scalar hair that oscillates spatially, expanding understanding of scalar fields in gravitational contexts.
Findings
Existence of spherically symmetric charged black holes with scalar hair.
Scalar hair manifests as a spatially oscillating wave packet.
Back-reaction causes oscillations in Ricci and Kretschmann scalars.
Abstract
We study standard Einstein-Maxwell theory minimally coupled to a complex valued and self-interacting scalar field. We demonstrate that new, previously unnoticed spherically symmetric, charged black hole solutions with scalar hair exist in this model for sufficiently large gravitational coupling and sufficiently small electromagnetic coupling. The novel scalar hair has the form of a spatially oscillating ''wave packet'' and back-reacts on the space-time such that both the Ricci and the Kretschmann scalar, respectively, possess qualitatively similar oscillations.
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