Scalar self-force for high spin black holes

Compère, Geoffrey; Fransen, Kwinten; Hertog, Thomas; Liu, Yan

doi:10.1103/physrevd.101.064006

Cited by 3 publications

(3 citation statements)

References 57 publications

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“…2 A useful application of this is the identification of their generating function in the zero-damped quasinormal piece of the time-domain Green's function on a near-extremal Kerr black hole [39][40][41]. 3 They are orthogonal with respect to a particular measure, see for instance [42].…”

Section: Warped Ads3mentioning

confidence: 99%

Quasinormal Modes from Penrose Limits

Fransen¹

2023

Preprint

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We use Penrose limits to approximate quasinormal modes with large real frequencies. The Penrose limit associates a plane wave to a region of spacetime near a null geodesic. This plane wave can be argued to geometrically realize the geometrical optics approximation. Therefore, when applied to the bound null orbits around black holes, the Penrose limit can be used to study quasinormal modes. For instance, this Penrose limit point of view makes manifest the symmetry that emerges in the geometrical optics approximation of quasinormal modes in terms of isometries of the resulting plane wave spacetime. We apply the procedure to warped AdS3, Schwarzschild black holes and Kerr black holes. In the former we show explicitly how the symmetry algebra contracts to that of the limiting plane wave while in the latter we find the expected agreement with numerically computed quasinormal modes for large (real) frequencies. Contents 1. Introduction 2. Warped AdS 3 3. The Schwarzschild black hole 4. The Kerr black hole 5. Conclusion and outlook References

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Section: Warped Ads3mentioning

confidence: 99%

Quasinormal Modes from Penrose Limits

Fransen¹

2023

Preprint

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“…This is more subtle in asymptotically flat space where the asymptotic singular point is irregular[35] 3. A useful application of this is the identification of their generating function in the zero-damped quasinormal piece of the time-domain Green's function on a near-extremal Kerr black hole[39][40][41].…”

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confidence: 99%

Quasinormal modes from Penrose limits

Fransen

2023

Class. Quantum Grav.

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We use Penrose limits to approximate quasinormal modes with large real frequencies. The Penrose limit associates a plane wave to a region of spacetime near a null geodesic. This plane wave can be argued to geometrically realize the geometrical optics approximation. Therefore, when applied to the bound null orbits around black holes, the Penrose limit can be used to study quasinormal modes. For instance, this Penrose limit point of view makes manifest the symmetry that emerges in the geometrical optics approximation of quasinormal modes in terms of isometries of the resulting plane wave spacetime. We apply the procedure to warped AdS3, Schwarzschild black holes and Kerr black holes. In the former we show explicitly how the symmetry algebra contracts to that of the limiting plane wave while in the latter we ﬁnd the expected agreement with numerically computed quasinormal modes for large (real) frequencies.

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“…In this paper, we extend the status of conformal symmetry methods for GW [51] to take spin and finite size effects into account within the Teukolsky formalism but using the probe approximation (no gravitational self-force). Self-force effects within the nearhorizon geometry will be considered elsewhere [61].We will use the Mathisson-Papapetrou-Dixon formalism [62][63][64][65][66] to model the extended black hole, neutron star or exotic compact object. The solution to the MPD equation that we will construct matches with the leading high spin limit of the prograde (with respect to the Kerr spin) circular orbit of [52] after specializing to probe black holes.…”

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Spin and quadrupole couplings for high spin equatorial intermediate mass-ratio coalescences

Chen

Compère

Liu

et al. 2019

Class. Quantum Grav.

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Intermediate mass-ratio coalescences are potential signals of ground-based and spacebased gravitational observatories. Accurate modeling of their waveforms within general relativity can be achieved within black hole perturbation theory including self-force and finite size effects. In this paper, we present analytic results to the Teukolsky perturbation of equatorial orbits in the near-horizon region of an extremely high spin black hole including spin coupling and finite size effects at leading order in the high spin limit while neglecting the self-force. We detail the critical behavior occuring close to the smallest specific angular momentum, and we discuss features of spin and quadrupole couplings.

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Scalar self-force for high spin black holes

Cited by 3 publications

References 57 publications

Quasinormal Modes from Penrose Limits

Quasinormal Modes from Penrose Limits

Quasinormal modes from Penrose limits

Spin and quadrupole couplings for high spin equatorial intermediate mass-ratio coalescences

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