Dynamical spontaneous scalarization in Einstein-Maxwell-scalar theory

Abstract

We study the linear instability and the nonlinear dynamical evolution of the Reissner-Nordström (RN) black hole in the Einstein-Maxwell-scalar theory in asymptotic flat spacetime. We focus on the coupling function $f(\varphi )=e^{-b{\varphi }^2}$ which allows both the scalar-free RN solution and scalarized black hole solution. We first present the evolution of system parameters during dynamic scalarization. For parameter regions where spontaneous scalarization occurs, we find that the evolution of the scalar field at the horizon is dominated by the fundamental unstable mode from linear analysis at early times. At late times, the nonlinear evolution can be viewed as the perturbation of scalarized black holes.

17 pages, 17 figures, the version accepted by CPC

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Cited by in corpus (7)

• Spontaneous scalarization
• Mixed scalarization of charged black holes: from spontaneous to non-linear scalarization
• Scalarization of planar anti de Sitter charged black holes in Einstein-Maxwell-Scalar theory
• Dynamical spontaneous scalarization in Einstein-Maxwell-scalar models in anti-de Sitter spacetime
• Descalarization by Quenching Charged Hairy Black Hole in asymptotically AdS spacetime
• Extraction of energy from a black hole in Einstein-Maxwell-scalar theory
• Violation of cosmic censorship in Einstein-Maxwell-Scalar models with fractional coupling