Stability of the fundamental quasinormal mode in time-domain observations against small perturbations

Berti, Emanuele; Cardoso, Vítor; Cheung, Mark Ho-Yeuk; Filippo, Francesco Di; Duque, Francisco; Martens, Paul; Mukohyama, Shinji

doi:10.1103/physrevd.106.084011

Cited by 29 publications

(5 citation statements)

References 64 publications

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“…The application of our relativistic framework to galactic EMRIs immersed in a halo shows that environments can easily de-stabilize the BH spectra, as had recently been suggested with toy models [11,[59][60][61][62]; it is unknown at this point if environmental resonances can be excited by supermassive BHs, long-before merger; however, our results show how the coupling to the environment changes GW generation and propagation.…”

supporting

confidence: 61%

“…We see conversion from GWs to density waves and vice-versa; BH ringdown at early times, and a long-lived mode at late times. This is in essence a fluid mode, imprinted on the GW signal due to the coupling, and a clear example of spectral instability in BH quasinormal modes, which has attracted considerable interest recently [11,[58][59][60][61][62], here seen in a realistic astrophysical setting.…”

mentioning

confidence: 99%

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Gravitational Waves from Extreme-Mass-Ratio Systems in Astrophysical Environments

Cardoso

Destounis²,

Duque³

et al. 2022

Phys. Rev. Lett.

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We establish a generic, fully-relativistic formalism to study gravitational-wave emission by extreme-mass-ratio systems in spherically-symmetric, non-vacuum black-hole spacetimes. The potential applications to astrophysical setups range from black holes accreting baryonic matter to those within axionic clouds and dark matter environments, allowing to assess the impact of the galactic potential, of accretion, gravitational drag and halo feedback on the generation and propagation of gravitational waves. We apply our methods to a black hole within a halo of matter. We find fluid modes imparted to the gravitational-wave signal (a clear evidence of the black-hole fundamental mode instability) and the tantalizing possibility to infer galactic properties from gravitational-wave measurements by sensitive, low-frequency detectors.

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supporting

confidence: 61%

mentioning

confidence: 99%

Gravitational Waves from Extreme-Mass-Ratio Systems in Astrophysical Environments

Cardoso

Destounis²,

Duque³

et al. 2022

Phys. Rev. Lett.

Self Cite

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“…This factor shall impact the dispersion relation resulting in a term leading to the quasinormal-like modes. Quasinormal modes naturally arise in linear black hole perturbation theory [14,23]. It describes the so-called "ringdown" phase of the black hole coalescence, corresponding to the final part of the gravitational waves signal, as in recent LIGO/VIRGO detections [24][25][26][27].…”

Section: Dynamics In R 1+3 : Quasinormal-like Modesmentioning

confidence: 99%

A geometrical approach to nontrivial topology via exotic spinors

Silva

Cavalcanti

Beghetto

et al. 2023

J. High Energ. Phys.

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Exotic spinors arise in non-simply connected base manifolds due to the nonequivalent spinor structure. The dynamics of exotic spinors are endowed with an additional differential factor. In this work, we merge the exotic spinor scenario with Cartan’s spinor viewpoint, according to which a given spacetime point is understood as a kind of composition of spinor entries. As a result, we arrive at a geometrical setup in which the Minkowski metric is perturbed by elements reflecting the nontrivial topology. Such corrections shall be felt by any physical system studied with the resulting bilinear form. Within the flat spacetime context, we investigate quasinormal modes arising from the interference of nontrivial topology in the scalar field dispersion relation.

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“…The hyperboloidal framework also allows us to formally define quasi-normal modes as eigenvalues of the generator of time translations for a null foliation, acting on an appropriate Hilbert space [60,61]. Furthermore, the notion of quasi-normal mode pseudospectra [21,[62][63][64][65][66] sheds light on the phenomenon of quasi-normal modes spectral instability [67][68][69], which might impact predictions from the black-hole spectroscopy programme [62,[70][71][72][73]. In the context of wave form modelling for EMRIs, the hyperboloidal approach enhanced the predictions arising from the effective-one-body approach [74][75][76][77][78][79][80][81][82], and the framework has also excelled first tests in the gravitational self-force programme [83][84][85][86][87][88].…”

Section: Introductionmentioning

confidence: 99%

Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics

Panosso Macedo

2024

Phil. Trans. R. Soc. A.

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This work offers a didactical introduction to the calculations and geometrical properties of a static, spherically symmetric spacetime foliated by hyperboloidal time surfaces. We discuss the various degrees of freedom involved, namely the height function, responsible for introducing the hyperboloidal time coordinate, and a radial compactification function. A central outcome is the expression of the Trautman–Bondi mass in terms of the hyperboloidal metric functions. Moreover, we apply this formalism to a class of wave equations commonly used in black-hole perturbation theory. Additionally, we provide a comprehensive derivation of the hyperboloidal minimal gauge, introducing two alternative approaches within this conceptual framework: the in-out and out-in strategies. Specifically, we demonstrate that the height function in the in-out strategy follows from the well-known tortoise coordinate by changing the sign of the terms that become singular at future null infinity. Similarly, for the out-in strategy, a sign change also occurs in the tortoise coordinate’s regular terms. We apply the methodology to the following spacetimes: Singularity-approaching slices in Schwarzschild, higher-dimensional black holes, black hole with matter halo, and Reissner–Nordström–de Sitter. From this heuristic study, we conjecture that the out-in strategy is best adapted for black hole geometries that account for environmental or effective quantum effects. This article is part of a discussion meeting issue ‘At the interface of asymptotics, conformal methods and analysis in general relativity’.

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Stability of the fundamental quasinormal mode in time-domain observations against small perturbations

Cited by 29 publications

References 64 publications

Gravitational Waves from Extreme-Mass-Ratio Systems in Astrophysical Environments

Gravitational Waves from Extreme-Mass-Ratio Systems in Astrophysical Environments

A geometrical approach to nontrivial topology via exotic spinors

Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics

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