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We present a comprehensive analysis of the quasinormal modes (QNMs) of a massive scalar field in Schwarzschild spacetime using two complementary numerical techniques: the Hill-determinant method and Leaver continued-fraction method. Our…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Matheus F. S. Alves , Bruno P. Pônquio , L. G. Medeiros

We study characteristic (quasinormal) modes of a $D$-dimensional Schwarzshild black hole. It proves out that the real parts of the complex quasinormal modes, representing the real oscillation frequencies, are proportional to the product of…

General Relativity and Quantum Cosmology · Physics 2018-04-04 R. A. Konoplya

We apply a new analytic scheme, developed in a preceding paper, in order to calculate the late time behavior of scalar test fields evolving outside a Schwarzschild black hole. The pattern of the late time decay at future null infinity is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack

We study the evolution of massive scalar field in the spacetime geometry of Kehagias-Sfetsos(KS) black hole in deformed Horava-Lifshitz(HL) gravity by numerical analysis. We find that the signature of HL theory is encoded in the quasinormal…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Nijo Varghese , V C Kuriakose

We generalize the Chern-Simons modified gravity to the metric-affine case and impose projective invariance by supplementing the Pontryagin density with homothetic curvature terms which do not spoil topologicity. The latter is then broken by…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Simon Boudet , Flavio Bombacigno , Gonzalo J. Olmo , Paulo J. Porfirio

The ringdown of perturbed black holes has been studied since the 1970s, but until recently, studies have focused on linear perturbations. There is now burgeoning interest in nonlinear perturbative effects during ringdown. Here, using a…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Bonga Béatrice , Adam Pound

We prove that the number of quasinormal modes (QNM) for Schwarzschild and Schwarzschild-de Sitter black holes in a disc of radius $ r $ is bounded from below by $ c r^3 $. This shows that the recent upper bound by J\'ez\'equel is sharp. The…

Mathematical Physics · Physics 2025-05-20 Michael Hitrik , Maciej Zworski

This study investigates the effects of higher dimensions on the observable properties of Schwarzschild-Tangherlini black holes, focusing on the photonsphere, shadow radius, deflection angles, and quasinormal modes (QNMs). By extending…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Nikko John Leo S. Lobos , Anele M. Ncube , Reggie C. Pantig , Alan S. Cornell

We study quasinormal modes (QNMs) in 5D electrically charged Bardeen black holes spacetime by considering the scalar and electromagnetic field perturbations. The black holes spacetime is an exact solution of Einstein gravity coupled to…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Kimet Jusufi , Muhammed Amir , Md Sabir Ali , Sunil D. Maharaj

The late-time dynamics of massive spin-2 fields in flat and curved spacetimes are studied analytically. We find that the time evolutions of the massive fields are characterized by oscillatory power-law decaying tails at asymptotically late…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

Using Leaver's continue fraction and time domain method, we investigate the wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole. We find that the presence of the negative kinetic energy terms modifies…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Songbai Chen , Jiliang Jing , Qiyuan Pan

We study odd-parity perturbations about static and spherically symmetric black hole solutions with a linearly time-dependent scalar field in higher-order scalar-tensor theories. In particular, we consider stealth Schwarzschild and stealth…

General Relativity and Quantum Cosmology · Physics 2024-03-01 Keisuke Nakashi , Masashi Kimura , Hayato Motohashi , Kazufumi Takahashi

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yanqiang Liu , Benrong Mu , Jun Tao , Yuling Weng

We study the late-time tails appearing in the propagation of massless fields (scalar, electromagnetic and gravitational) in the vicinities of a D-dimensional Schwarzschild black hole. We find that at late times the fields always exhibit a…

High Energy Physics - Theory · Physics 2009-11-10 Vitor Cardoso , Shijun Yoshida , Oscar J. C. Dias , Jose' P. S. Lemos

We present a thorough analysis for the quasinormal (QN) behavior, associated with the decay of scalar, electromagnetic and gravitational perturbations, of Schwarzschild-anti-de Sitter black holes. As it is known the anti-de Sitter (AdS) QN…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vitor Cardoso , Roman Konoplya , Jose' P. S. Lemos

The neutrino quasinormal modes of the Reissner-Nordstr\"om (RN) black hole are investigated using continued fraction approach. We find, for large angular quantum number, that the quasinormal frequencies become evenly spaced and the spacing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jiliang Jing

The purpose of this article is twofold. First, we highlight a simple connection between the real part of quasinormal modes (QNMs) in the eikonal limit and shadow radius of BHs and then explore the effect of dark matter on the QNMs of…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Kimet Jusufi

Using the third-order WKB approximation and monodromy methods, we investigate the influence of Lorentz violating coefficient $b$ (associated with a special axial-vector $b_{\mu}$ field) on Dirac quasinormal modes in the Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Songbai Chen , Bin Wang , Rukeng Su

Recently an anomalous decay rate of the quasinormal modes of a massive scalar field in Schwarzschild black holes backgrounds was reported in which the longest-lived modes are the ones with higher angular number, for a scalar field mass…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Almendra Aragón , P. A. González , Eleftherios Papantonopoulos , Yerko Vásquez

It is known that the imaginary parts of the quasi normal mode (QNM) frequencies for the Schwarzschild black hole are evenly spaced with a spacing that depends only on the surface gravity. On the other hand, for massless minimally coupled…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Roy Choudhury , T. Padmanabhan