Open AccessQuasinormal modes of the electric potential in the 4 dimensional anti de Sitter Reissner-Norstöm black hole spacetime with scalar hair
Author(s) -
P. Kanjanaphomchom,
Suphot Musiri
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1719/1/012039
Subject(s) - physics , black hole (networking) , spacetime , scalar field , de sitter–schwarzschild metric , charged black hole , mathematical physics , scalar (mathematics) , horizon , anti de sitter space , de sitter universe , white hole , classical mechanics , quantum electrodynamics , quantum mechanics , schwarzschild radius , geometry , universe , computer network , routing protocol , routing (electronic design automation) , mathematics , astronomy , computer science , link state routing protocol
In this study, analytical calculations are performed to assess the quasinormal modes (qnm) of the perturbed electromagnetic potential within the a four-dimensional spacetime of the Reissner-Nordström (RN) anti-de Sitter (AdS) black holes which are dressed with scalar hair. The black holes serve as the solutions for the Einstein-Maxwell theory under a negative cosmological constant and conformally-coupled real self-interacting scalar field. When the strength of the scalar field is suitable, phase transition of the black holes occurs to create a new form of MTZ black holes. The electromagnetic field can then be perturbed and the qnm and their frequencies calculated in order to meet the boundary conditions both at the horizon and at the far distant region from the new MTZ black hole. In order to address a simplified version of this problem, this study investigates the case whereby the mass of the MTZ black hole is significantly less than the AdS radius.