Stability of the Hayward black hole under electromagnetic perturbations

Villani, Mattia

doi:10.1088/1361-6382/abe912

Cited by 5 publications

(2 citation statements)

References 37 publications

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“…One has to carefully distinguish the notion of the stability of test fields perturbing these spacetimes, from the question of the internal stability of the spacetime itself. Test field stability, at the level of the Regge-Wheeler and Zerelli equations, has been addressed in references [59][60][61]. Once one specifies an appropriate class of gravitational sources, full dynamical stability can also be addressed-see for example [51,[62][63][64].…”

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confidence: 99%

Killing Horizons and Surface Gravities for a Well-Behaved Three-Function Generalization of the Kerr Spacetime

Baines

Visser

2023

Universe

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Thanks to the recent advent of the event horizon telescope (EHT), we now have the opportunity to test the physical ramifications of the strong-field near-horizon regime for astrophysical black holes. Herein, emphasizing the trade-off between tractability and generality, the authors discuss a particularly powerful three-function distortion of the Kerr spacetime, depending on three arbitrary functions of the radial coordinate r, which on the one hand can be fit to future observational data, and on the other hand is sufficiently general so as to encompass an extremely wide class of theoretical models. In all of these spacetimes, both the timelike Hamilton–Jacobi (geodesic) and massive Klein–Gordon (wave) equations separate, and the spacetime geometry is asymptotically Kerr; hence, these spacetimes are well-suited to modeling real astrophysical black holes. The authors then prove the existence of Killing horizons for this entire class of spacetimes, and give tractable expressions for the angular velocities, areas, and surface gravities of these horizons. We emphasize the validity of rigidity results and zeroth laws for these horizons.

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confidence: 99%

Killing Horizons and Surface Gravities for a Well-Behaved Three-Function Generalization of the Kerr Spacetime

Baines

Visser

2023

Universe

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“…A more interesting aspect of general relativity with nonlinear electrodynamics is that one can construct black holes without spacetime singularity, such as the Bardeen black hole [30]. So far, various regular black holes have been obtained as solutions in specific theories of nonlinear electrodynamics [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. For one of the models of such regular black holes, quasinormal modes are also analyzed in Ref.…”

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confidence: 99%

Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics

Nomura,

Yoshida

2021

Preprint

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We study quasinormal modes related to gravitational and electromagnetic perturbations of spherically symmetric charged black holes in nonlinear electrodynamics. Beyond the linear Maxwell electrodynamics, we consider a class of Lagrangian with higher-order corrections written by the electromagnetic field strength and its Hodge dual with arbitrary coefficients, and we parameterize the corrections for quasinormal frequencies in terms of the coefficients. It is confirmed that the isospectrality of quasinormal modes under parity is generally violated due to nonlinear electrodynamics. As applications, the corrections for quasinormal frequencies in Euler-Heisenberg and Born-Infeld electrodynamics are calculated, then it is clarified that the nonlinear effects act to lengthen the oscillation period and enhance the damping rate of the quasinormal modes.

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Black hole extremality in nonlinear electrodynamics: a lesson for weak gravity and Festina Lente bounds

Abe,

Noumi,

Yoshimura

2023

J. High Energ. Phys.

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We study black hole extremality in nonlinear electrodynamics motivated by the Weak Gravity Conjecture (WGC) and the Festina Lente (FL) bound. For illustration, we consider the Euler-Heisenberg model and the Dirac-Born-Infeld model in asymptotically flat spacetime, de Sitter spacetime, and anti-de Sitter spacetime. We find that in all cases the extremal condition enjoys a certain monotonicity expected by the WGC. This provides evidence for the conjecture beyond the leading order corrections to the Einstein-Maxwell theory. We also study how light charged particles modify the mass-charge relation of Nariai black holes in de Sitter spacetime and discuss possible implications for the FL bound. Besides, we point out an interesting similarity between our black hole analysis and gravitational positivity bounds on scattering amplitudes.

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Stability of the Hayward black hole under electromagnetic perturbations

Abstract: It is known that the regular Hayward black hole is an exact solution of the Einstein equations which describes a non-rotating magnetic monopole governed by a non linear Lagrangian. We consider the problem of electromagnetic perturbations of such an object in order to study its stability.

Cited by 5 publications

References 37 publications

Killing Horizons and Surface Gravities for a Well-Behaved Three-Function Generalization of the Kerr Spacetime

Killing Horizons and Surface Gravities for a Well-Behaved Three-Function Generalization of the Kerr Spacetime

Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics

Black hole extremality in nonlinear electrodynamics: a lesson for weak gravity and Festina Lente bounds

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