Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called quasinormal modes (QNMs). In this paper, we investigate the...

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Main Authors: Yanqiang Liu, Benrong Mu, Jun Tao, Yuling Weng
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324003535
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author Yanqiang Liu
Benrong Mu
Jun Tao
Yuling Weng
author_facet Yanqiang Liu
Benrong Mu
Jun Tao
Yuling Weng
author_sort Yanqiang Liu
collection DOAJ
description The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called quasinormal modes (QNMs). In this paper, we investigate the ringdown spectrum resulting from scalar field perturbations of black holes surrounded by pseudo-isothermal dark matter halos. The complex frequencies of these quasinormal modes are numerically computed using the 6th-order WKB with Padé average approximation. Additionally, the time evolution of the scalar perturbations is examined using the finite difference method, considering various multipole numbers and dark matter halo parameters. For a static, spherically symmetric black hole, the photon sphere—composed of circular null geodesics—plays a crucial role in analyzing the black hole shadow. Furthermore, the connection between the black hole shadow and QNMs is explored in the eikonal limit.
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series Nuclear Physics B
spelling doaj-art-ea3dba26398e49b78b75661feb9a302d2025-01-10T04:37:53ZengElsevierNuclear Physics B0550-32132025-01-011010116787Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter haloYanqiang Liu0Benrong Mu1Jun Tao2Yuling Weng3Center for Theoretical Physics, College of Physics, Sichuan University, Chengdu, 610065, ChinaCenter for Joint Quantum Studies, College of Medical Technology, Chengdu University of Traditional Chinese Medicine, Chengdu, 611137, PR ChinaCenter for Theoretical Physics, College of Physics, Sichuan University, Chengdu, 610065, China; Corresponding author.Center for Theoretical Physics, College of Physics, Sichuan University, Chengdu, 610065, ChinaThe merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called quasinormal modes (QNMs). In this paper, we investigate the ringdown spectrum resulting from scalar field perturbations of black holes surrounded by pseudo-isothermal dark matter halos. The complex frequencies of these quasinormal modes are numerically computed using the 6th-order WKB with Padé average approximation. Additionally, the time evolution of the scalar perturbations is examined using the finite difference method, considering various multipole numbers and dark matter halo parameters. For a static, spherically symmetric black hole, the photon sphere—composed of circular null geodesics—plays a crucial role in analyzing the black hole shadow. Furthermore, the connection between the black hole shadow and QNMs is explored in the eikonal limit.http://www.sciencedirect.com/science/article/pii/S0550321324003535
spellingShingle Yanqiang Liu
Benrong Mu
Jun Tao
Yuling Weng
Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo
Nuclear Physics B
title Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo
title_full Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo
title_fullStr Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo
title_full_unstemmed Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo
title_short Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo
title_sort quasinormal modes of schwarzschild like black hole surrounded by the pseudo isothermal dark matter halo
url http://www.sciencedirect.com/science/article/pii/S0550321324003535
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