Stability of gravitating charged-scalar solitons in a cavity

Abstract

We present new regular solutions of Einstein-charged scalar field theory in a cavity. The system is enclosed inside a reflecting mirror-like boundary, on which the scalar field vanishes. The mirror is placed at the zero of the scalar field closest to the origin, and inside this boundary our solutions are regular. We study the stability of these solitons under linear, spherically symmetric perturbations of the metric, scalar and electromagnetic fields. If the radius of the mirror is sufficiently large, we present numerical evidence for the stability of the solitons. For small mirror radius, some of the solitons are unstable. We discuss the physical interpretation of this instability.

17 pages, 13 figures, minor changes, accepted for publication in Physical Review D

References in corpus (8)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Black holes as particle detectors: evolution of superradiant instabilities
• Superradiant instabilities in astrophysical systems
• Bosenova collapse of axion cloud around a rotating black hole
• Gravitational Stability of Boson Stars
• The charged black-hole bomb: A lower bound on the charge-to-mass ratio of the explosive scalar field
• Formation and decay of Einstein-Yang-Mills black holes
• Time evolutions of scalar field perturbations in $D$-dimensional Reissner-Nordström Anti-de Sitter black holes

Cited by in corpus (23)

• Dynamical formation of a Reissner-Nordström black hole with scalar hair in a cavity
• Phase Structures and Transitions of Born-Infeld Black Holes in a Grand Canonical Ensemble
• Analytic treatment of the system of a Kerr-Newman black hole and a charged massive scalar field
• Charged black hole bombs in a Minkowski cavity
• Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity
• Effect of scalar field mass on gravitating charged scalar solitons and black holes in a cavity
• Evading no-hair theorems: hairy black holes in a Minkowski box
• Scalar geons in Born-Infeld gravity
• Hawking--Page phase transitions of the black holes in a cavity
• Dynamical formation of a hairy black hole in a cavity from the decay of unstable solitons
• Solitons in a cavity for the Einstein-SU(2) Non-linear Sigma Model and Skyrme model
• Scalarization of planar anti de Sitter charged black holes in Einstein-Maxwell-Scalar theory
• The spinning Kerr-black-hole-mirror bomb: A lower bound on the radius of the reflecting mirror
• On the dual relation in the Hawking--Page phase transition of the black holes in a cavity
• Phase Structures and Transitions of Quintessence Surrounding RN Black Holes in a Grand Canonical Ensemble
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• New islands of stability with double-trace deformations
• Phase diagram of the charged black hole bomb system
• Boson stars and solitons confined in a Minkowski box
• The Joule--Thomson and Joule--Thomson-like effects of the black holes in a cavity
• Gravitational systems in asymptotically anti-de Sitter space-times
• Novel black holes with scalar hair in the Einstein-Maxwell-Scalar Theory with positive coupling
• Dyonic black holes in $\mathfrak{su}(\infty )$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinite set of global charges