Purely imaginary quasinormal modes of the Kerr geometry

Cook, G.G.; Zalutskiy, Maxim

doi:10.1088/0264-9381/33/24/245008

Cited by 24 publications

(21 citation statements)

References 25 publications

(86 reference statements)

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“…This feature is more pronounced in the case of κ(α = 0) = +1 (upper row) than in the case of κ(α = 0) = −1 (lower row). These oscillations in the imaginary and real part combined with a drift in the complex plane lead to a looping behaviour found previously for scalar, vector and tensor quasinormal modes [17,18,20,47,48]. Although not shown in figure 1, this looping behaviour is also present when varying α if one fixes η with a large enough value.…”

Section: A the Dirac Spectrum Of The Kerr Black Holesupporting

confidence: 58%

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Quasinormal modes of Dirac spinors in the background of rotating black holes in four and five dimensions

Blázquez-Salcedo

Knöll

2019

Class. Quantum Grav.

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We study the quasinormal modes of massive Dirac spinors in the background of rotating black holes. In particular, we consider the Kerr geometry as well as the five dimensional Myers-Perry spacetime with equal angular momenta. We decouple the equations using the standard methods from the literature. In the five dimensional Myers-Perry black hole the angular equation is solved analytically. Using the continued fraction method, we calculate the spectrum of quasinormal modes for the ground modes and first excited modes. We analyze, in a systematic way, its dependence on the different parameters of the black hole and fermionic field. We compare our values with previous results available in the literature for Kerr and for the static limit. The numerical results show several differences between the four and five dimensional cases. For instance, in five dimensions the symmetry between the positive and negative (real) frequency of the modes breaks down, which results in a richer spectrum.

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Section: A the Dirac Spectrum Of The Kerr Black Holesupporting

confidence: 58%

“…The high overtone number modes are dense around the axis and thus we cannot be sure what are the exact overtone numbers. These modes with vanishing real part behave similarly to tensor perturbations [48].…”

Section: • High Overtone Numbermentioning

confidence: 74%

Quasinormal modes of Dirac spinors in the background of rotating black holes in four and five dimensions

Blázquez-Salcedo

Knöll

2019

Class. Quantum Grav.

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“…It is worth mentioning at this point that it has appeared in the literature a few works studying purely damped modes of the Kerr black hole in asymptotically flat spacetimes [87,88]. They report on the appearance of frequencies that have the same behavior as presented in Fig.…”

Section: Emergence Of a New Qnm Class And The Algebraically Specimentioning

confidence: 78%

From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma

et al. 2018

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A certain identification of points in a planar Schwarzschild-anti de Sitter (AdS) black hole generates a four-dimensional static black string. In turn, a rotating black string can be obtained from a static one by means of a local boost along the compact direction. On the basis of the gauge/gravity duality, these black strings are dual to rotating thermal states of a strongly interacting conformal field theory (CFT) that lives on a cylinder. In this work, we obtain the complete quasinormal mode (QNM) spectrum of the gravitational perturbations of rotating black strings. Analytic solutions for the dispersion relations are found in the hydrodynamic limit, characterized by fluctuations with wavenumber and frequency much smaller than the Hawking temperature of the string (or the temperature of the CFT in the dual description). We obtain these dispersion relations both by studying the gravitational perturbations of rotating black strings and by investigating relativistic wave vectors in a moving fluid living on the boundary of the AdS spacetime. Relativistic effects like the Doppler shift of the frequencies, wavelength contraction, and dilation of the thermalization time are shown explicitly in such a regime. The numerical solutions for the fundamental QNMs show a crossover (a transition) from a hydrodynamic-like behavior to a linear relativistic scaling for large wavenumbers. Additionally, we find a new family of QNMs which are purely damped in the zero wavenumber limit and that does not follow as a continuation of QNMs of the static black string, but that appears to be closely related to the algebraically special perturbation modes. I. INTRODUCTIONSince its advent in the late 1990's, the celebrated antide Sitter/conformal field theory (AdS/CFT) correspondence [1-4] has been extended and applied to different areas of physics. Such developments have lead to what is now known as the AdS/QCD [5][6][7][8], the AdS/condensed matter [9][10][11], and the fluid/gravity [12][13][14] correspondences. Over the last two decades, the AdS/CFT duality has allowed the study of properties of strongly coupled systems in a n-dimensional flat spacetime by mapping them to a weakly coupled gravitational theory in an asymptotically AdS n+1 spacetime. In applications to particle physics, top-down and bottom-up models were used to study, among other things, the mass spectrum, the correlation functions, and the deep inelastic scattering of glueballs, vector and scalar mesons [15][16][17][18][19][20][21][22][23]. Some phenomena in condensed matter, such as the hightemperature superconductivity [24][25][26], the classical and quantum Hall effects [27][28][29][30][31][32] and the (non-)Fermi liquid behavior of certain materials [33][34][35], were also object of study in the literature. In relation to plasma physics, the fluid/gravity correspondence establishes a one-to-one

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“…The purely imaginary quasinormal modes cor-respond to a special set of purely damped modes, which are distinguished from regular complex ones with non-vanishing real part. Although purely imaginary quasinormal modes have not often been reported in the literature, their existence was found for various black holes [85][86][87][88][89][90][91]. Specifically, it was demonstrated that the type of purely imaginary modes can be used to characterize electromagnetic and axial perturbations of large asymptotically AdS black holes [85].…”

Section: Scalarized Black Holesmentioning

confidence: 99%

“…Specifically, it was demonstrated that the type of purely imaginary modes can be used to characterize electromagnetic and axial perturbations of large asymptotically AdS black holes [85]. In the context of Kerr geometry, there is a set of quasinormal modes precisely existing on the negative imaginary axis [87]. Interestingly, purely imaginary quasinormal modes were found to play an important role in violating the strong cosmic censorship conjecture for near-extremal dS black holes [88,90].…”

Section: Scalarized Black Holesmentioning

confidence: 99%

Scalarized Einstein–Maxwell-scalar black holes in anti-de Sitter spacetime

Guo

Wang

et al. 2021

Eur. Phys. J. C

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In this paper, we study spontaneous scalarization of asymptotically anti-de Sitter charged black holes in an Einstein–Maxwell-scalar model with a non-minimal coupling between the scalar and Maxwell fields. In this model, Reissner–Nordström-AdS (RNAdS) black holes are scalar-free black hole solutions, and may induce scalarized black holes due to the presence of a tachyonic instability of the scalar field near the event horizon. For RNAdS and scalarized black hole solutions, we investigate the domain of existence, perturbative stability against spherical perturbations and phase structure. In a micro-canonical ensemble, scalarized solutions are always thermodynamically preferred over RNAdS black holes. However, the system has much richer phase structure and phase transitions in a canonical ensemble. In particular, we report a RNAdS BH/scalarized BH/RNAdS BH reentrant phase transition, which is composed of a zeroth-order phase transition and a second-order one.

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Purely imaginary quasinormal modes of the Kerr geometry

Cited by 24 publications

References 25 publications

Quasinormal modes of Dirac spinors in the background of rotating black holes in four and five dimensions

Quasinormal modes of Dirac spinors in the background of rotating black holes in four and five dimensions

From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma

Scalarized Einstein–Maxwell-scalar black holes in anti-de Sitter spacetime

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