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Dynamical charged black hole spontaneous scalarization in Anti-de Sitter spacetimes

2021/03/25 by Cheng-Yong Zhang, Peng Liu, Yunqi Liu +2 · 33 citations
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Charge (physics) #Charged black hole #Cosmological constant #Cosmology and Gravitation Theories #Coupling constant #Entropy (arrow of time) #Extremal black hole #Geometry #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Relativity and Gravitational Theory #Scalar (mathematics) #de Sitter–Schwarzschild metric #gr-qc

paper · pdf · doi:10.1103/physrevd.104.084089

published in arXiv (Cornell University) 104(8) (Cornell University)

arxiv created 2021/03/25 · openalex publication_date 2021/03/25 · openalex created_date 2021/11/08 · arxiv updated 2021/11/10 · openalex updated_date 2026/08/05

Abstract

We study the fully nonlinear dynamics of black hole spontaneous scalarizations in Einstein-Maxwell scalar theory with coupling function f(φ)=e^-bφ2, which can transform usual Reissner-Nordstr"om Anti-de Sitter (RN-AdS) black holes into hairy black holes. Fixing the Arnowitt-Deser-Misner mass of the system, the initial scalar perturbation will destroy the original RN-AdS black hole and turn it into a hairy black hole provided that the constant -b in the coupling function and the charge of the original black hole are sufficiently large, while the cosmological constant is small enough. In the scalarization process, we observe that the black hole irreducible mass initially increases exponentially, then it approaches to and finally saturates at a finite value. Choosing stronger coupling and larger black hole charge, we find that the black hole mass exponentially grows earlier and it takes a longer time for a hairy black hole to be developed and stabilized. We further examine phase structure properties in the scalarization process and confirm the observations in the non-linear dynamical study.

Citations