Extremal charged black holes and superradiantly unstable quasinormal modes

Mai, Zhan-Feng; Yang, Run-Qiu; Lü, H.

doi:10.1140/epjc/s10052-022-10490-y

Eur. Phys. J. C

2022

DOI: 10.1140/epjc/s10052-022-10490-y

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Extremal charged black holes and superradiantly unstable quasinormal modes

Zhan-Feng Mai

Run-Qiu Yang

H. Lü

Abstract: It was recently shown that the extremal charged black holes in STU supergravity suffer from superradiant instability owing to the existence of the unstable (low-frequency) quasibound states associated with a charged massive scalar field. In this paper, we show numerically that for some charge configurations, these black holes can also excite the (higher-frequency) superradiantly unstable quasinormal modes. We find empirically that the unstable modes are closely related to having a volcano-shaped effective pote… Show more

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2024

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Cited by 2 publications

References 26 publications

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Superradiant instability of charged extremal black holes in Einstein-Born-Infeld gravity

Wu,

Lü

2024

J. High Energ. Phys.

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We study charged scalar perturbations of charged extremal black holes in Einstein-Born-Infeld theory. Our numerical results indicate that these black holes all suffer from superradiant instability by the unstable quasi-bound states, regardless how small the coupling constant is. We therefore provide a new example that the superradiant stability of the Reissner-Nordström black hole is a fine-tuned result, as in the case when it is embedded in the STU supergravity model. The work is also motivated by the weak gravity conjecture since at the linear coupling constant level, the theory belongs to a subsect of four-derivative corrections in the effective field theory. Our results appear to support the notion that the black holes do decay when gravity is weaker by the correction, but the decaying halftime requires nonlinear effects and cannot be seen at the level of linear coupling constant. The full nonlinear effects also indicate that the black holes can decay even when gravity is stronger.

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Superradiant instability of charged extremal black holes in Einstein-Born-Infeld gravity

Wu,

Lü

2024

J. High Energ. Phys.

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FourSTUblack holes shadows

Sekhmani,

Jyoti Gogoi,

Myrzakulov

et al. 2024

Class. Quantum Grav.

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In this work, we examine the optical behaviors and thermodynamic phase structures using shadow analysis for four $\mathbb{S}\mathbb{T}\mathbb{U}$ black holes. The study is conducted for four cases of charge configurations on the parameter space $\mathcal{M}\left(q_1,q_2,q_3,q_4\right)$. As a matter of fact, both the electric charge as a parameter and the parameter space $\mathcal{M}\left(q_1,q_2,q_3,q_4\right)$ affect the geometry of the black hole shadow, particularly the size of the shadow. We also introduce a constraint on the charge of the black hole from the observational results of the M87$^\star$ {\color{red}and Sgr A$^\star$} shadow. Furthermore, we show that the electric charge and the parameter space $\mathcal{M}\left(q_1,q_2,q_3,q_4\right)$ have a non-trivial impact on the variation of the energy emission rate. Interestingly enough, we find novel scenarios in which the evaporation is slower, which causes the lifetime of the black holes to be considerably elongated. On the other side, the phase structure of four $\mathbb{S}\mathbb{T}\mathbb{U}$ black holes is explored for two cases of electric charge configuration. The findings show a perfect correlation between the shadow and event horizon radii. This correlation is, in fact, helpful in discovering the phase transition in terms of the shadow radius. In addition, the microstructure is being analyzed in terms of shadow analysis, providing similar behavior to the ordinary situation of the Ruppeiner formalism.

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Extremal charged black holes and superradiantly unstable quasinormal modes

Cited by 2 publications

References 26 publications

Superradiant instability of charged extremal black holes in Einstein-Born-Infeld gravity

Superradiant instability of charged extremal black holes in Einstein-Born-Infeld gravity

FourSTUblack holes shadows

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