Dynamical behavior of the $C$-metric: charged scalar fields, quasinormal modes and superradiance

Destounis, Kyriakos; Mascher, Giacomo; Kokkotas, Kostas D.

doi:10.48550/arxiv.2206.07794

Cited by 2 publications

(2 citation statements)

References 98 publications

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“…Potential future works in this direction include introducing this methodology to a wider range of BH and ECO setups, with different asymptotic structures and symmetries (see e.g. [32,33,91,98,[105][106][107][108]).…”

Section: Discussionmentioning

confidence: 99%

Pseudospectrum of horizonless compact objects: A bootstrap instability mechanism

et al. 2023

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Recent investigations of the pseudospectrum in black hole spacetimes have shown that quasinormal mode frequencies suffer from spectral instabilities. This phenomenon may severely affect gravitational-wave spectroscopy and limit precision tests of general relativity. We extend the pseudospectrum analysis to horizonless exotic compact objects which possess a reflective surface arbitrarily close to the Schwarzschild radius, and find that their quasinormal modes also suffer from an overall spectral instability. Even though all the modes themselves decay monotonically, the pseudospectrum contours of equal resonance magnitude around the fundamental mode and the lowest overtones can cross the real axis into the unstable regime of the complex plane, unveiling the existence of non-modal pseudo-resonances. A pseudospectrum analysis further predicts that fluctuations to the system may destabilize the object when next to leading-order effects are considered, as the triggering of pseudo-resonant growth can break the order-expansion of black-hole perturbation theory.

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Section: Discussionmentioning

confidence: 99%

Pseudospectrum of horizonless compact objects: A bootstrap instability mechanism

et al. 2023

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“…The stability of accelerating black holes is then an important question to investigate. However most of the studies in this direction have so far been restricted to spacetimes without a cosmological constant (see [8,9] and references therein). In this paper, motivated by JHEP10(2022)047 the important role of the AdS-CFT correspondence in physics, we investigate the numerical stability of accelerating black hole solutions with a negative cosmological constant.…”

Section: Introductionmentioning

confidence: 99%

Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes

Fontana

Mena

2022

J. High Energ. Phys.

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We investigate the numerical stability of accelerating AdS black holes against linear scalar perturbations. In particular, we study the evolution of a probe non-minimally coupled scalar field on Schwarzschild and Reissner-Nordström AdS black holes with small accelerations by computing the quasinormal modes of the perturbation spectrum. We decompose the scalar field Klein-Gordon equation and study the eigenvalue problem for its angular and radial-temporal parts using different numerical methods. The angular part is written in terms of the Heun solution and expanded through the Frobenius method which turns out to give eigenvalues qualitatively similar to the ones obtained through the spherical harmonics representation. The radial-temporal evolution renders a stable field profile which is decomposed in terms of damped and purely imaginary oscillations of the quasinormal modes. We calculate the respective frequencies for different spacetime parameters showing the existence of a fine-structure in the modes, for both real and imaginary parts, which is not present in the non-accelerating AdS black holes. Our results indicate that the Schwarzschild and Reissner-Nordström AdS black holes with small accelerations are stable against linear scalar perturbations.

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Dynamical behavior of the $C$-metric: charged scalar fields, quasinormal modes and superradiance

Abstract: The conical deficit can be replaced by the introduction of a more physical magnetic field, leading to the Ernst spacetime [16,17]. This solution does not require the existence of cosmic strings though has significantly altered non-asymptotically flat structure.

Cited by 2 publications

References 98 publications

Pseudospectrum of horizonless compact objects: A bootstrap instability mechanism

Pseudospectrum of horizonless compact objects: A bootstrap instability mechanism

Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes

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