Gravitational Perturbation of Schwarzschild-De Sitter Spacetime and Its Quasi-Normal Modes

Otsuki, Hideaki; Futamase, Toshifumi

doi:10.1143/ptp/85.4.771

Cited by 20 publications

(12 citation statements)

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“…The motivation for this study is to study the effect of the presence of the cosmological constant on the anomalous decay. For gravitational perturbations in Schwarzschild de Sitter black holes the longest-lived modes are always the one with lower angular number [25]. In the case of a massive probe scalar field, as we already discussed, a different behaviour in the Schwarzschild background was observed, here a mass scale is introduced by the probe scalar field.…”

Section: Introductionmentioning

confidence: 67%

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Anomalous decay rate of quasinormal modes in Schwarzschild-dS and Schwarzschild-AdS black holes

Aragón

González

Papantonopoulos

et al. 2020

J. High Energ. Phys.

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Recently an anomalous decay rate of the quasinormal modes of a massive scalar field in Schwarzschild black holes backgrounds was reported in which the longest-lived modes are the ones with higher angular number, for a scalar field mass smaller than a critical value, while that beyond this value the behaviour is inverted. In this work, we extend the study to other asymptotic geometries, such as, Schwarzschild-de Sitter and Schwarzschild-AdS black holes. Mainly, we found that such behaviour and the critical mass are present in the Schwarzschild-de Sitter background. Also, we found that the value of the critical mass increases when the cosmological constant increases and also when the overtone number is increasing. On the other hand, despite the critical mass is not present in Schwarzschild-AdS black holes backgrounds, the decay rate of the quasinormal modes always exhibits an anomalous behaviour.

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Section: Introductionmentioning

confidence: 67%

“…The gravitational QNMs of Schwarzschild-de Sitter black hole were studied in [25,33,34]. The QNMs of a probe scalar field for this geometry were calculated in [35] by using the sixth order WKB formula and the approximation by the Pöschl-Teller (P-T) potential.…”

Section: Introductionmentioning

confidence: 99%

Anomalous decay rate of quasinormal modes in Schwarzschild-dS and Schwarzschild-AdS black holes

Aragón

González

Papantonopoulos

et al. 2020

J. High Energ. Phys.

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show abstract

“…For the radial part of the perturbation equations of ψ 0 and ψ 4 , the NP formalism is equivalent (after transition to new radial functions Q ±2 (r); see Refs. [77,78] for details) to the Regge-Wheeler-Zerilli equations…”

Section: Basic Equations and Separation Of Variablesmentioning

confidence: 99%

“…Recall that the quasinormal modes (see, e.g., Refs. [77][78][79][80][81]83,[86][87][88][89][90][91][92][93][94][95]) correspond to solutions to Equations ( 27) and (32), which satisfy the specific boundary conditions (cf. [77,79,80]): ingoing waves at the horizon…”

Section: Quasinormal Modes Of a Quasi-spherical Axisymmetric Black Holementioning

confidence: 99%

Scattering on Quasi-Spherical Black-Holes: Features and Beyond

Arslanaliev

Nurmagambetov

2021

Physics

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Recent developments in the gravitational waves interferometry require more pertinent theoretical models of gravitational waves generation and propagation. Untouched possible mechanisms of spin-2 spacetime perturbations production, we will consider their subsequent scattering on other black holes (BHs). Specifically, we consider a generalization of the Regge-Wheeler-Zerilli equations for the case of distorted BHs (BHs surrounded with matter) in Minkowski and Anti-de Sitter spacetimes, the metric potential of which obeys the Liouville equation. We establish significant differences in scattering characteristics of waves of different spins and angular momenta, including the gravitational waves, caused by losing the spherical symmetry of their propagation background. In particular, we demonstrate the strong impact of the background geometry deformation on the grey-body factors, hence on the absorption cross-sections of scattering waves, and explore the issue of stability of the background geometry upon changing the deformation degree parameters.

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“…There is a vast literature on the quasinormal modes of stars and black holes, see [5,6,13] for some very good reviews on the subject. The problem of finding the quasinormal modes of the SdS black hole has already been previously considered in the literature, see for instance [14][15][16][17][18], and it has gained more attention recently in the context of black hole thermodynamics and area quantization (see [19,20] and references therein). We review here only very briefly the most important points needed for our analysis.…”

Section: Quasinormal Modes For the Schwarzschild-de Sitter Blackmentioning

confidence: 99%

Effect of a variable cosmological constant on black hole quasinormal modes

Chirenti

Rodrigues

2015

Phys. Rev. D

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Many different cosmological models have been proposed to address the cosmological constant problem and the coincidence problem. We compare here four different models that can be used to describe an effective (time-dependent) cosmological constant Λ(z). A numerical analysis of the Λ(z) evolution obtained for each model shows that it can be used for distinguishing between all four models. We calculate next the ω(Λ) frequencies for quasinormal modes of gravitational perturbations of Schwarzschild-de Sitter black holes at different redshifts. Considering that the variation of Λ happens on cosmological timescales, the combined ω(Λ(z)) could be used in principle to track the evolution of the cosmological constant. We quantify the resulting minute frequency shift in the quasinormal mode frequencies and show that the relative frequency shift grows as M 2 . However, even in a most optimistic scenario with an extremely high mass supermassive black hole there is no prospect for the detection of this effect.

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Gravitational Perturbation of Schwarzschild-De Sitter Spacetime and Its Quasi-Normal Modes

Cited by 20 publications

References 1 publication

Anomalous decay rate of quasinormal modes in Schwarzschild-dS and Schwarzschild-AdS black holes

Anomalous decay rate of quasinormal modes in Schwarzschild-dS and Schwarzschild-AdS black holes

Scattering on Quasi-Spherical Black-Holes: Features and Beyond

Effect of a variable cosmological constant on black hole quasinormal modes

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