Instability of a Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to the Einstein tensor

Abdalla, Élcio; Cuadros-Melgar, Bertha; Fontana, R. D. B.; Papantonopoulos, Eleftherios; Pavan, A. B.

doi:10.1103/physrevd.99.104065

Cited by 12 publications

(10 citation statements)

References 74 publications

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“…Rotating Kerr black holes may also be superradiantly unstable under massive scalar perturbation, where the mass of the scalar provides a natural mirror [16][17][18][19][20][21][22][23][24][25]. If a mirror-like boundary condition is imposed outside the black hole horizon or if the RN/Kerr black hole is asymptotically non-flat, the black hole is superradiantly unstable in certain parameter spaces [26][27][28][29][30][31]. Besides scalar perturbations, a massive vector perturbation on a rotating Kerr black hole has also been discussed [32,33].…”

Section: Introductionmentioning

confidence: 99%

Analytic study of superradiant stability of Kerr–Newman black holes under charged massive scalar perturbation

Zheng

Luo

et al. 2021

Eur. Phys. J. C

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The superradiant stability of a Kerr–Newman black hole and charged massive scalar perturbation is investigated. We treat the black hole as a background geometry and study the equation of motion of the scalar perturbation. From the radial equation of motion, we derive the effective potential experienced by the scalar perturbation. By a careful analysis of this effective potential, it is found that when the inner and outer horizons of Kerr–Newman black hole satisfy $$\frac{r_-}{r_+}\leqslant \frac{1}{3}$$ r - r + ⩽ 1 3 and the charge-to-mass ratios of scalar perturbation and black hole satisfy $$ \frac{q}{\mu }\frac{Q}{ M}>1 $$ q μ Q M > 1 , the Kerr–Newman black hole and scalar perturbation system is superradiantly stable.

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Section: Introductionmentioning

confidence: 99%

Analytic study of superradiant stability of Kerr–Newman black holes under charged massive scalar perturbation

Zheng

Luo

et al. 2021

Eur. Phys. J. C

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“…When a mirror is introduced, superradiant modes are supported and the stringy RN black hole becomes superradiantly unstable under charged massive scalar perturbation [30][31][32]. It is also found that extra coupling between the scalar field and the gravity can result in superradiant instability of RN/RN-AdS black holes [33,34].…”

Section: (): V-volmentioning

confidence: 97%

Dyonic Reissner–Nordstrom black holes and superradiant stability

Zou

Mai

et al. 2021

Eur. Phys. J. C

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Black holes immersed in magnetic fields are believed to be important systems in astrophysics. One interesting topic on these systems is their superradiant stability property. In the present paper, we analytically obtain the superradiantly stable regime for the asymptotically flat dyonic Reissner–Nordstrom black holes with charged massive scalar perturbation. The effective potential experienced by the scalar perturbation in the dyonic black hole background is obtained and analyzed. It is found that the dyonic black hole is superradiantly stable in the regime $$0<r_{-}/r_{+}<2/3$$ 0 < r - / r + < 2 / 3 , where $$r_\pm $$ r ± are the event horizons of the dyonic black hole. Compared with the purely electrically charged Reissner–Nordstrom black hole case, our result indicates that the additional coupling of the charged scalar perturbation with the magnetic filed makes the black hole and scalar perturbation system more superradiantly unstable, which provides further evidence on the instability induced by magnetic field in black hole superradiance process.

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“…The QNMs and QNFs have been calculated using various numerical and analytical techniques [57][58][59][60][61][62]. In the case of gravitational perturbations it was found that for the Schwarzschild and Kerr black hole background the longestlived modes are always the ones with lower angular number .…”

Section: (): V-volmentioning

confidence: 99%

Quasinormal modes and their anomalous behavior for black holes in f(R) gravity

et al. 2021

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We study the propagation of scalar fields in the background of an asymptotically de Sitter black hole solution in f(R) gravity. The aim of this work is to analyze in modified theories of gravity the existence of an anomalous decay rate of the quasinormal modes (QNMs) of a massive scalar field which was recently reported in Schwarzschild black hole backgrounds, in which the longest-lived modes are the ones with higher angular number, for a scalar field mass smaller than a critical value, while that beyond this value the behavior is inverted. We study the QNMs for various overtone numbers and they depend on a parameter $$\beta $$ β which appears in the metric and characterizes the f(R) gravity. For small $$\beta $$ β , i.e. small deviations from the Schwarzschild–dS black hole the anomalous behavior in the QNMs is present for the photon sphere modes, and the critical value of the mass of the scalar field depends on the parameter $$\beta $$ β while for large $$\beta $$ β , i.e. large deviations, the anomalous behavior and the critical mass does not appear. Also, the critical mass of the scalar field increases when the overtone number increases until the f(R) gravity parameter $$\beta $$ β approaches the near extremal limit at which the critical mass of the scalar field does not depend anymore on the overtone number. The imaginary part of the quasinormal frequencies is always negative leading to a stable propagation of the scalar fields in this background.

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Instability of a Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to the Einstein tensor

Cited by 12 publications

References 74 publications

Analytic study of superradiant stability of Kerr–Newman black holes under charged massive scalar perturbation

Analytic study of superradiant stability of Kerr–Newman black holes under charged massive scalar perturbation

Dyonic Reissner–Nordstrom black holes and superradiant stability

Quasinormal modes and their anomalous behavior for black holes in f(R) gravity

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