Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources

Yan, Zening; Wu, Chen; Wen-Jun, Guo

doi:10.1016/j.nuclphysb.2020.115217

Cited by 13 publications

(5 citation statements)

References 59 publications

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“…In addition, the condition for the existence of the event horizon of this non-commutative geometry inspired black hole: the range of non-commutative parameters is 0 < θ 0.275811 [80,85], when M = 1 is selected.…”

Section: Non-commutative Geometry Inspired Black Holementioning

confidence: 99%

Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole

Yan,

Wu,

Guo

2020

Preprint

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We investigate the quasinormal modes (QNMs) of the scalar field coupled to the Einstein's tensor in the non-commutative geometry inspired black hole spacetime. It is found that the lapse function of the non-commutative black hole metric can be represented by a Kummer's confluent hypergeometric function, which can effectively solve the problem that the numerical results of the QNMs are sensitive to the model parameters and make the QNMs values more reliable. We make a careful analysis of the scalar QNM frequencies by using several numerical methods, and find that the numerical results obtained by the new WKB method (the Padé approximation) and the Mashhoon method (Pöschl-Teller potential method) are quite different from those obtained by the AIM method (the asymptotic iterative method) and time-domain integration method when the parameters θ and η are large. The most obvious difference is that the numerical results obtained by the AIM method and the time-domain integration method appear a critical η c with an increase of η, which leads to the dynamical unstability. After carefully analyzing the numeral results, we conclude that the numerical results obtained by the AIM method and the time-domain integration method are closer to the theoretical values than those obtained by the WKB method and the Mashhoon method, when the θ and η are large. Moreover, through a numerical fitting, we obtain that the functional relationship between the threshold η c and the non-commutative parameter θ satisfies η c = aθ b + c for a fixed l approximately.

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Section: Non-commutative Geometry Inspired Black Holementioning

confidence: 99%

Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole

Yan,

Wu,

Guo

2020

Preprint

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“…Many other researchers have investigated the thermodynamic aspects of non-commutative black holes [18][19][20][21]. Yan [22,23] used the WKB method to calculate the QNMs of non-commutative black hole. Konoplya and Bronnikov et al [24,25] used WKB method to study Quasinormal ringing of regular black holes.…”

Section: Introductionmentioning

confidence: 99%

Absorption and scattering of a high dimensional non-commutative black hole

Wan

2023

Eur. Phys. J. C

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In this work, we investigate the scattering of massless plane scalar waves by the high dimensional non-commutative Schwarzschild–Tangherlini black hole. We use the partial wave approach to determine the scattering and absorption cross sections in the incident wavelength range. Our numerical results demonstrate that the bigger the non-commutative parameter, the smaller the maximum value of the related partial absorption cross section, however the tendency is slightly. We also discovered that when the non-commutative parameter is weak, the absorption cross section of the high dimensional black hole oscillates in the low frequency zone. The total absorption cross section oscillates around the geometrical optical limit in the high frequency range, and the scattering characteristics of black holes with various parameters are visibly different. The influence on the differential scattering cross section is particularly pronounced at large angles.

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“…Also, the spectrum of QNM frequencies of five-dimensional non-commutative BH spacetime for the perturbations of a massive scalar field using the sixth-order WKB approximation has been recently obtained by Grigoris et al [22]. However, the massless scalar QNMs of the noncommutative D-dimensional Schwarzschild-Tangherlini BH spacetime has also recently been investigated employing the WKB approximation method, the asymptotic iterative method (AIM) and the inverted potential method (IPM) in a greater detail by Zening et al [23].…”

Section: Introductionmentioning

confidence: 99%

Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent

Giri,

Nandan,

Joshi

et al. 2022

Preprint

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We study the dynamics of test particle and stability of circular geodesics in the gravitational field of a non-commutative geometry inspired Schwarzschild black hole spacetime (NCSBH). The coordinate time Lyapunov exponent (λc) is crucial to investigate the stability of equatorial circular geodesics of massive and massless test particles. The stability or instability of circular orbits are discussed by analysing the variation of Lyapunov exponent with radius of these orbits for different values of non-commutative parameter (α). In the case of null circular orbits, the instability exponent is calculated and presented to discuss the instability of null circular orbits. Further, by relating parameters corresponding to null circular geodesics (i.e. angular frequency and Lyapunov exponent), the quasinormal modes (QNMs) for a massless scalar field perturbation in the eikonal approximation are evaluated, and also visualised by relating the real and imaginary parts. The nature of scalar field potential, by varying the non-commutative parameter (α) and angular momentum of perturbation (l), are also observed and discussed.

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Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources

Cited by 13 publications

References 59 publications

Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole

Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole

Absorption and scattering of a high dimensional non-commutative black hole

Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent

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