Dynamical charged black hole spontaneous scalarization in anti–de Sitter spacetimes

Cheng-Yong Zhang, Peng Liu, Yun-Qi Liu, Chao Niu, and Bin Wang
Phys. Rev. D 104, 084089 – Published 26 October 2021

Abstract

We study the fully nonlinear dynamics of the spherically symmetric black hole spontaneous scalarization in Einstein Maxwell scalar theory with coupling function f(ϕ)=ebϕ2, which can transform usual Reissner-Nordström 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 spherically symmetric 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 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 nonlinear dynamical study.

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  • Received 7 June 2021
  • Accepted 30 September 2021

DOI:https://doi.org/10.1103/PhysRevD.104.084089

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Cheng-Yong Zhang1,*, Peng Liu1,†, Yun-Qi Liu2,‡, Chao Niu1,§, and Bin Wang2,3,∥

  • 1Department of Physics and Siyuan Laboratory, Jinan University, Guangzhou 510632, China
  • 2Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China
  • 3School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China

  • *zhangcy@email.jnu.edu.cn
  • phylp@jnu.edu.cn
  • yunqiliu@yzu.edu.cn
  • §niuchaophy@gmail.com
  • wang_b@sjtu.edu.cn

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Issue

Vol. 104, Iss. 8 — 15 October 2021

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