Echoes from Hairy Black Holes

Abstract

We study the waveforms of time signals produced by scalar perturbations in static hairy black holes, in which the perturbations can be governed by a double-peak effective potential. The inner potential peak would give rise to echoes, which provide a powerful tool to test the Kerr hypothesis. The waveforms are constructed in the time and frequency domains, and we find that the late-time waveforms are determined by the long-lived and sub-long-lived quasinormal modes, which are trapped in the potential valley and near the smaller peak, respectively. When the distance between the peaks is significantly larger than the width of the peaks, a train of decaying echo pulses is produced by the superposition of the long-lived and sub-long-lived modes. In certain cases, the echoes can vanish and then reappear. When the peaks are close enough, one detects far fewer echo signals and a following sinusoid tail, which is controlled by the long-lived or sub-long-lived mode and hence decays very slowly.

22 pages, 6 figures, 2 tables and references add

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Cited by in corpus (15)

• Probing hairy black holes caused by gravitational decoupling using quasinormal modes and greybody bounds
• Quasinormal modes-shadow correspondence for rotating regular black holes
• Black Holes with Multiple Photon Spheres
• Gravitational Lensing by Black Holes with Multiple Photon Spheres
• Ringing and echoes from black bounces surrounded by the string cloud
• Superradiance Instabilities of Charged Black Holes in Einstein-Maxwell-scalar Theory
• Observational Appearance of a Freely-falling Star in an Asymmetric Thin-shell Wormhole
• Whispers from the quantum core: the ringdown of semiclassical stars
• Massive fields affected by echoes: New physics vs. astrophysical environment
• Black hole spectroscopy and nonlinear echoes in Einstein-Maxwell-scalar theory
• Splitting the Echoes of Black Holes in Einstein-nonlinear Electrodynamic Theories
• Hairy black holes via gravitational decoupling: light rings, absorption and spectral lines
• QNM families: classification and competition
• Exploring black holes with multiple photon spheres by interferometric signatures
• Model-agnostic search of gravitational wave echoes in LVK data