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The purpose of this short communication is to show that the theory of Breit-Wigner resonances can be used as an efficient numerical tool to compute black hole quasinormal modes. For illustration we focus on the Schwarzschild anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Emanuele Berti , Vitor Cardoso , Paolo Pani

We investigate the excitation of quasi-normal modes (QNMs) in gravitational lensing by a Schwarzschild black hole using a scalar field model. By employing a time-domain mode-sum method, we analyze the complex interplay between an incident…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Chengjiang Yin , Zihao Lin , Jian-hua He

The deep reason why the equations describing axial and polar perturbations of Schwarzschild black holes have the same spectrum is far from trivial. In this article, we revisit the original proof and try to make it clearer. Still focusing on…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Flora Moulin , Aurélien Barrau

We study the late-time behaviour of a dynamically perturbed rapidly rotating black hole. Considering an extreme Kerr black hole, we show that the large number of virtually undamped quasinormal modes (that exist for nonzero values of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 K. Glampedakis , N. Andersson

We study the propagation of a massive vector or Proca field on the Schwarzschild spacetime. The field equations are reduced to a one-dimensional wave equation for the odd-parity part of the field and two coupled equations for the…

High Energy Physics - Theory · Physics 2015-05-30 Joao G. Rosa , Sam R. Dolan

A time-symmetric Cauchy slice of the extended Schwarzschild spacetime can be evolved into a foliation of the $r>3m/2$-region of the spacetime by maximal surfaces with the requirement that time runs equally fast at both spatial ends of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Beig , N. Ó Murchadha

We study the massless scalar wave propagation in the time-dependent Schwarzschild black hole background. We find that the Kruskal coordinate is an appropriate framework to investigate the time-dependent spacetime. A time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Li-Hui Xue , Zai-Xiong Shen , Bin Wang , Ru-Keng Su

We investigate the asymptotic behavior of spherically symmetric solutions to scalar wave and Yang-Mills equations on a Schwarzschild background. The studies demonstrate the astrophysical relevance of null infinity in predicting radiation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Anıl Zenginoğlu

We study in special limiting cases quasinormal modes of massive scalar fields in the Schwarzschild-de Sitter black hole backgrounds. We determine the lower limit on the mass parameter of the scalar field that allows the waves with…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Bobir Toshmatov , Zdeněk Stuchlík

The effective low temperature dynamics of near-extremal black holes is governed by the quantum fluctuations of the Schwarzian mode of JT gravity. Utilizing as a proxy a planar charged black hole in asymptotically Anti-de-Sitter spacetime,…

High Energy Physics - Theory · Physics 2024-01-26 Lucas Daguerre

We solve analytically the low-frequency s-wave dynamics of a massless scalar field propagating on a Schwarzschild-de Sitter black hole background. A rigorous application of the method of matched asymptotic expansions allows us to connect…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Marco de Cesare , Marcello Miranda , Achilleas P. Porfyriadis

The decay of massive scalar field in the Schwarzschild black hole background is investigated here by consideration its quasinormal spectrum. It has been proved that the so-called $quasi-resonant$ modes, which are arbitrary long living…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. A. Konoplya , A. V. Zhidenko

We present an analytic method for calculating the late-time tails of a linear scalar field outside a Kerr black hole. We give the asymptotic behavior at timelike infinity (for fixed $r$), at future null infinity, and along the event horizon…

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

We present the first numerical construction of the scalar Schwarzschild Green function in the time-domain, which reveals several universal features of wave propagation in black hole spacetimes. We demonstrate the trapping of energy near the…

General Relativity and Quantum Cosmology · Physics 2012-09-27 Anıl Zenginoğlu , Chad R. Galley

Recently, Friedrich's Generalized Conformal Field Equations (GCFE) have been implemented numerically and global quantities such as the Bondi energy and the Bondi-Sachs mass loss have been successfully calculated directly on null-infinity.…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Jörg Frauendiener , Chris Stevens

A numerical study of the evolution of a massless scalar field in the background of rotating black holes is presented. First, solutions to the wave equation are obtained for slowly rotating black holes. In this approximation, the background…

General Relativity and Quantum Cosmology · Physics 2009-12-30 W. Krivan , P. Laguna , P. Papadopoulos

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 an analysis of the behaviour at late-times of linear field perturbations of a Schwarzschild black hole space-time. In particular, we give explicit analytic expressions for the field perturbations (for a specific multipole) of…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Marc Casals , Adrian C. Ottewill

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by integrating the Green function for the wave…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Marc Casals , Sam Dolan , Adrian C. Ottewill , Barry Wardell

Complex scalar fields described by a novel Klein-Gordon equation derived from gauge and group theories are considered at the Schwarzschild's black hole singularities. It is shown that the field is well-behaved in the vicinity of these…

General Physics · Physics 2026-04-03 Z. E. Musielak , J. L. Fry , G. W. Kanan