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Asymptotic quasinormal modes of scalar field in a gravity's rainbow
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作者 刘成周 朱建阳 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第10期4161-4168,共8页
In the framework of the gravity's rainbow, the asymptotic quasinormal modes of the modified Schwarzschild black holes undergoing a scalar perturbation are investigated. By using the monodromy method, we analytically ... In the framework of the gravity's rainbow, the asymptotic quasinormal modes of the modified Schwarzschild black holes undergoing a scalar perturbation are investigated. By using the monodromy method, we analytically calculated the asymptotic quasinormal frequencies, which depend on not only the mass parameter of the black hole, but also the particle's energy of the perturbation field. Meanwhile, the real parts of the asymptotic quasinormal modes can be expressed as TH In 3, which is consistent with Hod's conjecture. In addition, for the quantum corrected black hole, the area spacing is independent of the particle's energy, even though the area itself depends on the particle's energy. And that, by relating the area spectrum to loop quantum gravity, the Barbero-Immirzi parameter is given and it remains the same as from the usual black hole. 展开更多
关键词 gravity's rainbow quasinormal modes monodromy method quantum effect
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Quasinormal Modes of a Noncommutative-Geometry-Inspired Schwarzschild Black Hole: Gravitational, Electromagnetic and Massless Dirac Perturbations
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作者 Jun Liang 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第5期15-19,共5页
In our previous work [Chin. Phys. Lett. 35(2018) 010410], the quasinormal modes of massless scalar field perturbation in a noncommutative-geometry-inspired Schwarzschild black hole spacetime are studied using the th... In our previous work [Chin. Phys. Lett. 35(2018) 010410], the quasinormal modes of massless scalar field perturbation in a noncommutative-geometry-inspired Schwarzschild black hole spacetime are studied using the third-order Wentzel–Kramers–Brillouin approximative approach. In this study, we extend the work to the cases of gravitational, electromagnetic and massless Dirac perturbations. The result further confirms that the noncommutative parameter plays an important role for the quasinormal frequencies. 展开更多
关键词 NC quasinormal modes of a Noncommutative-Geometry-Inspired Schwarzschild Black Hole Electromagnetic and Massless Dirac Perturbations GRAVITATIONAL
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Quasinormal modes of the scalar field in five-dimensional Lovelock black hole spacetime
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作者 陈菊华 王永久 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第6期71-76,共6页
In this paper, using the third-order WKB approximation, we investigate the quasinormal frequencies of the scalar field in the background of a five-dimensional Lovelock black hole. We find that the ultraviolet correcti... In this paper, using the third-order WKB approximation, we investigate the quasinormal frequencies of the scalar field in the background of a five-dimensional Lovelock black hole. We find that the ultraviolet correction to Einstein theory in the Lovelock theory makes the scalar field decay more slowly and oscillate more quickly, and the cosmological constant makes the scalar field decay more slowly and oscillate more slowly in the Lovelock black hole background. 展开更多
关键词 quasinormal modes third-order WKB approximation Lovelock black hole
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Quasinormal Modes of Phantom Scalar Perturbation in Background of Reissner-Nordstrom Black Hole
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作者 潘启沅 苏汝铿 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第2期221-226,共6页
We have investigated the quasinormal modes (QNMs) of phantom scalar perturbation in a Reissner Nordstr6m (RN) background. We find that the dependence of Q, NMs on the mass of the field for the phantom perturbation... We have investigated the quasinormal modes (QNMs) of phantom scalar perturbation in a Reissner Nordstr6m (RN) background. We find that the dependence of Q, NMs on the mass of the field for the phantom perturbation is totally different from that of usual massive perturbation. However, we obtain the same critical value of the overtone number for an angular quantum number from which the mass will begin to have a reverse effect on the real part of QNM frequencies and the perturbation-independent relation between the Q, NMs and the second order thermodynamic phase transition. 展开更多
关键词 quasinormal modes phantom scalar perturbation second order thermodynamic phase transition
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Quasinormal modes of a stationary axisymmetric EMDA black hole
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作者 潘启沅 荆继良 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第1期77-82,共6页
The massless scalar quasiaormal modes (QNMs) of a stationary axisymmetric Einstein-Maxwell dilato-axioa (EMDA) black hole are calculated numerically using the continued fraction method first proposed by Leaver. Th... The massless scalar quasiaormal modes (QNMs) of a stationary axisymmetric Einstein-Maxwell dilato-axioa (EMDA) black hole are calculated numerically using the continued fraction method first proposed by Leaver. The fundamental quasinormal frequencies (slowly damped QNMs) are obtained and the peculiar behaviours of them are studied. It is shown that these frequencies depend on the dilaton parameter D, the rotational parameter a, the multiple moment l and the azimuthal number m, and have the same values with other authors at the Schwarzschild and Kerr limit. 展开更多
关键词 quasinormal modes (QNMs) the stationary axisymmetric EMDA black hole the continued fraction method QNMs
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Phase Transition and Quasinormal Modes for Spherical Black Holes in 5D Gauss–Bonnet Gravity
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作者 Ming Zhang Rui-Hong Yue 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第4期7-11,共5页
We study the quasinormal modes(QNMs) of massless scalar perturbations to probe the van der Waals like SBH/LBH phase transition of anti-de Sitter black holes in five-dimensional(5D) Gauss–Bonnet gravity. It is fou... We study the quasinormal modes(QNMs) of massless scalar perturbations to probe the van der Waals like SBH/LBH phase transition of anti-de Sitter black holes in five-dimensional(5D) Gauss–Bonnet gravity. It is found that the signature of this SBH/LBH phase transition is detected when the slopes of the QNMs frequency change drastically and differently in small and large black holes near the critical point. The obtained results further support that the QNMs can be a dynamic probe to investigate the thermodynamic properties in black holes. 展开更多
关键词 der Phase Transition and quasinormal modes for Spherical Black Holes in 5D Gauss Bonnet Gravity
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Quasinormal Modes of a Noncommutative-Geometry-Inspired Schwarzschild Black Hole
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作者 Jun Liang 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第1期14-17,共4页
The quasinormal modes(QNMs) of massless scalar field perturbation in a noncommutative-geometry-inspired Schwarzschild black hole spacetime are studied using the third-order Wentzel-Kramers-Brillouin approximative ap... The quasinormal modes(QNMs) of massless scalar field perturbation in a noncommutative-geometry-inspired Schwarzschild black hole spacetime are studied using the third-order Wentzel-Kramers-Brillouin approximative approach. The result shows that the noncommutative parameter plays an important role for the quasinormal(QNM) frequencies. 展开更多
关键词 In WKB quasinormal modes of a Noncommutative-Geometry-Inspired Schwarzschild Black Hole
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Quasinormal modes and ringdown waveforms of a Frolov black hole
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作者 Zhijun Song Huajie Gong +3 位作者 Hai-Li Li Guoyang Fu Li-Gang Zhu Jian-Pin Wu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第10期99-105,共7页
In this paper we investigate scalar perturbation over a Frolov black hole(BH), which is a regular BH induced by the quantum gravity effect. The quasinormal frequencies of a scalar field always consistently reside in t... In this paper we investigate scalar perturbation over a Frolov black hole(BH), which is a regular BH induced by the quantum gravity effect. The quasinormal frequencies of a scalar field always consistently reside in the lower half-plane, and the time-domain evolution of the field demonstrates a decaying behavior, with the late-time tail exhibiting a power-law pattern. These observations collectively suggest the stability of a Frolov BH against scalar perturbation.Additionally, our study reveals that the quantum gravity effect leads to slower decay modes. For the case of the angular quantum number l = 0, the oscillation exhibits non-monotonic behavior with the quantum gravity parameter α_(0). However, once l ≥ 1, the angular quantum number surpasses the influence of the quantum gravity effect. 展开更多
关键词 quasinormal modes black hole Frolov black hole quantum gravity effects
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Massless Dirac perturbations of black holes in f(Q)gravity:quasinormal modes and a weak deflection angle
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作者 Ahmad Al-Badawi Sohan Kumar Jha 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第9期73-82,共10页
This article considers a static and spherical black hole(BH)in f(Q)gravity.f(Q)gravity is the extension of symmetric teleparallel general relativity,where both curvature and torsion are vanishing and gravity is descri... This article considers a static and spherical black hole(BH)in f(Q)gravity.f(Q)gravity is the extension of symmetric teleparallel general relativity,where both curvature and torsion are vanishing and gravity is described by nonmetricity.In this study,we investigate the possible implications of quasinormal mode(QNM)modified Hawking spectra and deflection angles generated by the model.The Wentzel–Kramers–Brillouin method is used to solve the equations of motion for massless Dirac perturbation fields and explore the impact of the nonmetricity parameter(Q_(0)).Based on the QNM computation,we can ensure that the BH is stable against massless Dirac perturbations and as Q_(0)increases the oscillatory frequency of the mode decreases.We then discuss the weak deflection angle in the weak field limit approximation.We compute the deflection angle up to the fourth order of approximation and show how the nonmetricity parameter affects it.We find that the Q_(0)parameter reduces the deflection angle. 展开更多
关键词 black holes in f(Q)gravity massless Dirac perturbations quasinormal modes deflection angle
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Probing the Bardeen-Kiselev black hole with the cosmological constant caused by Einstein equations coupled with nonlinear electrodynamics using quasinormal modes and greybody bounds
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作者 S R Wu B Q Wang Z W Long 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第6期102-119,共18页
In this work,we investigate a static and spherically symmetric Bardeen-Kiselev black hole(BH)with the cosmological constant,which is a solution of the Einstein-non-linear Maxwell field equations.We compute the quasino... In this work,we investigate a static and spherically symmetric Bardeen-Kiselev black hole(BH)with the cosmological constant,which is a solution of the Einstein-non-linear Maxwell field equations.We compute the quasinormal frequencies for the Bardeen-Kiselev BH with the cosmological constant due to electromagnetic and gravitational perturbations.By varying the BH parameters,we discuss the behavior of both real and imaginary parts of the BH quasinormal frequencies and compare these frequencies with the Reissner-Nordström-de Sitter BH surrounded by quintessence(RN-dSQ).Interestingly,it is shown that the responses of the Bardeen-Kiselev BH with the cosmological constant and the RN-dSQ under electromagnetic perturbations are different when the charge parameter q,the state parameter w and the normalization factor c are varied;however,for the gravitational perturbations,the responses of the Bardeen-Kiselev BH with the cosmological constant and the RN-dSQ are different only when the charge parameter q is varied.Therefore,compared with the gravitational perturbations,the electromagnetic perturbations can be used to understand nonlinear and linear electromagnetic fields in curved spacetime separately.Another interesting observation is that,due to the presence of Kiselev quintessence,the electromagnetic perturbations around the Bardeen-Kiselev BH with the cosmological constant damps faster and oscillates slowly;for the gravitational perturbations,the quasinormal mode decays slowly and oscillates slowly.We also study the reflection and transmission coefficients along with the absorption cross section in the Bardeen-Kiselev BH with the cosmological constant;it is shown that the transmission coefficients will increase due to the presence of Kiselev quintessence. 展开更多
关键词 quasinormal modes greybody factors Bardeen-Kiselev black hole with cosmological constant
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Quasinormal modes and isospectrality of Bardeen(Anti-)de Sitter black holes
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作者 赵莹 刘文韬 +2 位作者 张超 房熊俊 荆继良 《Chinese Physics C》 SCIE CAS CSCD 2024年第3期191-202,共12页
Black holes(BHs)exhibiting coordinate singularities but lacking essential singularities throughout the spacetime are referred to as regular black holes(RBHs).The initial formulation of RBHs was presented by Bardeen,wh... Black holes(BHs)exhibiting coordinate singularities but lacking essential singularities throughout the spacetime are referred to as regular black holes(RBHs).The initial formulation of RBHs was presented by Bardeen,who considered the Einstein equation coupled with a nonlinear electromagnetic field.In this study,we investigate the gravitational perturbations,including the axial and polar sectors,of the Bardeen(Anti-)de Sitter black holes.We derive the master equations with source terms for both axial and polar perturbations and subsequently compute the quasinormal modes(QNMs)through numerical methods.For the Bardeen de Sitter black hole,we employ the 6thorder WKB approach.The numerical results reveal that the isospectrality is broken in this case.Conversely,the QNM frequencies are calculated using the HH method for the Bardeen Anti-de Sitter black hole. 展开更多
关键词 Bardeen quasinormal modes master equation
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Singularities of regular black holes and the monodromy method for asymptotic quasinormal modes
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作者 兰晨 王一帆 《Chinese Physics C》 SCIE CAS CSCD 2023年第2期231-251,共21页
We use the monodromy method to investigate the asymptotic quasinormal modes of regular black holes based on the explicit Stokes portraits.We find that,for regular black holes with spherical symmetry and a single shape... We use the monodromy method to investigate the asymptotic quasinormal modes of regular black holes based on the explicit Stokes portraits.We find that,for regular black holes with spherical symmetry and a single shape function,the analytical forms of the asymptotic frequency spectrum are not universal and do not depend on the multipole number but on the presence of complex singularities and the trajectory of asymptotic solutions along the Stokes lines. 展开更多
关键词 regular black holes asymptotic quasinormal modes monodromy method
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Gravitational quasinormal modes of a parametrized Schwarzschild metric
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作者 Kai Lin Hongsheng Zhang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2023年第10期121-128,共8页
Recently,a parametrized Schwarzschild metric(PSM)was proposed,in which n=2 to solve the differences of mass of M87*from different observations.We find the axial gravitational quasinormal modes of this metric are unsta... Recently,a parametrized Schwarzschild metric(PSM)was proposed,in which n=2 to solve the differences of mass of M87*from different observations.We find the axial gravitational quasinormal modes of this metric are unstable for n>1.The decay rate of the quasinormal mode of the case n<1 is much smaller than the case n=1,which can be used to differentiate the PSM from a Schwarzschild one. 展开更多
关键词 black hole quasinormal mode matrix method
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Quasinormal modes of Bardeen black holes with a cloud of strings
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作者 刘云龙 张向东 《Chinese Physics C》 SCIE CAS CSCD 2023年第12期151-161,共11页
We investigate the quasinormal mode and greybody factor of Bardeen black holes with a cloud of strings via the WKB approximation and verify them using the Prony algorithm. We find that the imaginary part of the quasin... We investigate the quasinormal mode and greybody factor of Bardeen black holes with a cloud of strings via the WKB approximation and verify them using the Prony algorithm. We find that the imaginary part of the quasinormal mode spectra is always negative, and the perturbation does not increase with time, indicating that the system is stable under scalar field perturbation. Moreover, the string parameter a has a dramatic impact on the frequency and decay rate of the waveforms. In addition, the greybody factor increases when a and λ increase and when q and l decrease. The parameters λ and l have a significant effect on the tails. In particular, when l=0, a de Sitter phase appears at the tail. 展开更多
关键词 quasinormal mode Bardeen black holes cloud of strings
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Quasinormal modes of a Schwarzschild black hole immersed in an electromagnetic universe 被引量:1
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作者 Ali Ovgiin Izzet Sakalh Joel Saavedra 《Chinese Physics C》 SCIE CAS CSCD 2018年第10期160-166,共7页
We study the quasinormal modes (QNMs) of a Schwarzschild black hole immersed in an electromagnetic (EM) universe. The immersed Schwarzschild black hole (ISBH) originates from the metric of colliding EM waves wit... We study the quasinormal modes (QNMs) of a Schwarzschild black hole immersed in an electromagnetic (EM) universe. The immersed Schwarzschild black hole (ISBH) originates from the metric of colliding EM waves with double polarization [Class. Quantum Grav. 12, 3013 (1995)]. The perturbation equations of the scalar fields for the ISBH geometry are written in the form of separable equations. We show that these equations can be transformed to the confluent Heun's equations, for which we are able to use known techniques to perform analytical quasinormal (QNM) analysis of the solutions. Furthermore, we employ numerical methods (Mashhoon and 6^th-order Wentzel- Kramers-Brillouin (WKB)) to derive the QNMs. The results obtained are discussed and depicted with the appropriate plots. 展开更多
关键词 quasinormal modes scalar particles SCHWARZSCHILD electromagnetic universe wave scattering heun functions
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Dirac quasinormal modes of Born-Infeld black hole spacetimes 被引量:1
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作者 Hong Ma Jin Li 《Chinese Physics C》 SCIE CAS CSCD 2020年第9期175-185,共11页
Quasinormal modes(QNMs)for massless and massive Dirac perturbations of Born-Infeld black holes(BHs)in higher dimensions are investigated.Solving the corresponding master equation in accordance with hypergeometric func... Quasinormal modes(QNMs)for massless and massive Dirac perturbations of Born-Infeld black holes(BHs)in higher dimensions are investigated.Solving the corresponding master equation in accordance with hypergeometric functions and the QNMs are evaluated.We discuss the relationships between QNM frequencies and spacetime dimensions.Meanwhile,we also discuss the stability of the Born-Infeld BH by calculating the temporal evolution of the perturbation field.Both the perturbation frequencies and the decay rate increase with increasing dimension of spacetime n.This shows that the Born-Infeld BHs become more and more unstable at higher dimensions.Furthermore,the traditional finite difference method is improved,so that it can be used to calculate the massive Dirac field.We also elucidate the dynamic evolution of Born-Infeld BHs in a massive Dirac field.Because the number of extra dimensions is related to the string scale,there is a relationship between the spacetime dimension n and the properties of Born-Infeld BHs that might be advantageous for the development of extra-dimensional brane worlds and string theory. 展开更多
关键词 Dirac perturbation Born-Infeld black holes quasinormal modes(QNMs)
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Quasinormal modes and absorption of a massless scalar field for the magnetic Gauss-Bonnet black hole
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作者 Chen Ma Yu Zhang +1 位作者 Qian Li Zhi-Wen Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2022年第6期113-121,共9页
We study the massless scalar quasinormal frequencies of an asymptotically flat static and spherically symmetric black hole with a nonzero magnetic charge in four-dimensional extended scalar-tensor-Gauss-Bonnet theory.... We study the massless scalar quasinormal frequencies of an asymptotically flat static and spherically symmetric black hole with a nonzero magnetic charge in four-dimensional extended scalar-tensor-Gauss-Bonnet theory. The results show that the real part of the quasinormal frequency becomes larger and the imaginary part becomes smaller with increasing the magnetic charge or the angular harmonic index. The existence of magnetic charges will reduce the damping of scalar perturbation, but increase the frequency. We also study the absorption crosssection of the scalar field in this black hole. We find that its curve will become lower as the magnetic charge increases, i.e. the magnetic charge will weaken the absorption capacity of the black hole. Meanwhile, the high-frequency limit of the total absorption cross-section is just the area of black hole shadow. 展开更多
关键词 quasinormal modes SCATTERING absorption cross-section massless scalar field magnetic Gauss-Bonnet black hole
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Phase transition and quasinormal modes for charged black holes in 4D Einstein-Gauss-Bonnet gravity
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作者 Ming Zhang Chao-Ming Zhang +1 位作者 De-Cheng Zou Rui-Hong Yue 《Chinese Physics C》 SCIE CAS CSCD 2021年第4期462-469,共8页
In four-dimensional Einstein-Gauss-Bonnet(EGB)gravity,we consider the thermodynamic and phase transitions of(charged)AdS black holes.For the negative GB coefficientα<0.the system allows two physical critical point... In four-dimensional Einstein-Gauss-Bonnet(EGB)gravity,we consider the thermodynamic and phase transitions of(charged)AdS black holes.For the negative GB coefficientα<0.the system allows two physical critical points,corresponding to the reentrant phase transition.when the charge Q>2√-α.For arbitraryα>0,the system always leads to a van der Waals phase transition.We then study the quasinormal modes(QNMs)of massless scalar perturbations to probe the van der Waals-like phase transition between small and large black holes(SBH/LBH)for(charged)AdS black holes.We find that the signature of this SBH/LBH phase transition in the isobaric process can be detected since the slopes of the QNM frequencies change dramatically in small and large black holes near the critical point.The obtained results further support that QNMs can be a dynamic probe of ther-modynamic properties in black holes. 展开更多
关键词 Gauss-Bonnet quasinormal modes phase transition black hole physics
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Quasinormal Modes of the Planar Black Holes of a Particular Lovelock Theory
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作者 Dan Wen Kai Lin Wei-Liang Qian 《Communications in Theoretical Physics》 SCIE CAS CSCD 2018年第12期689-694,共6页
In this work, we study the scalar quasinormal modes of a planar black hole metric in asymptotic anti-de Sitter spacetime derived from a particular Lovelock theory. The quasinormal frequencies are evaluated by adopting... In this work, we study the scalar quasinormal modes of a planar black hole metric in asymptotic anti-de Sitter spacetime derived from a particular Lovelock theory. The quasinormal frequencies are evaluated by adopting the Horowitz-Hubeny method as well as a matrix formalism. Also, the temporal evolution of small perturbations is studied by using finite difference method. The roles of the dimension of the spacetime, the parameter of the metric k, as well as the temperature of the background black hole, are discussed. It is observed that the particular form of the metric leads to quasinormal frequencies whose real parts are numerically insignificant. The black hole metric is found to be stable against small scalar perturbations. 展开更多
关键词 quasinormal modes Lovelock theory Horowitz-Hubeny method matrix method
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The matrix method for black hole quasinormal modes
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作者 Kai Lin Wei-Liang Qian 《Chinese Physics C》 SCIE CAS CSCD 2019年第3期117-125,共9页
We provide a comprehensive survey of possible applications of the matrix method for black hole quasinormal modes. The proposed algorithm can generally be applied to various background metrics, and in particular, it ac... We provide a comprehensive survey of possible applications of the matrix method for black hole quasinormal modes. The proposed algorithm can generally be applied to various background metrics, and in particular, it accommodates both analytic and numerical forms of the tortoise coordinates, as well as black hole spacetimes. We give a detailed account of different types of black hole metrics, master equations, and the corresponding boundary conditions. Besides, we argue that the method can readily be applied to cases where the master equation is a system of coupled equations. By adjusting the number of interpolation points, the present method provides a desirable degree of precision, in reasonable balance with its efficiency. The method is flexible and can easily be adopted to various distinct physical scenarios. 展开更多
关键词 quasinormal modes black hole spacetime matrix method quasinormal frequency
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