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Related papers: Evolving test-fields in a black-hole geometry

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Linear field perturbations of a black hole are described by the Green function of the wave equation that they obey. After Fourier decomposing the Green function, its two natural contributions are given by poles (quasinormal modes) and a…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Marc Casals , Adrian C. Ottewill

We consider the time evolution of massless gravitino perturbations in Schwarzschild black holes, and show that as in the case of fields of other values of spin, the evolution comes in three stages, after an initial outburst as a first…

General Relativity and Quantum Cosmology · Physics 2011-02-09 Owen Pavel Fernández Piedra

The retarded Green function for linear field perturbations in Schwarzschild black hole space-time possesses a branch cut in the complex-frequency plane. This branch cut has remained largely unexplored: only asymptotic analyses either for…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Marc Casals , Adrian C. Ottewill

Using the Green's function representation technique, the late time behavior of localized scalar field distributions on Schwarzschild spacetimes is studied. Assuming arbitrary initial data we perform a spectral analysis, computing the…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Miguel Alcubierre , Dario Nunez , Olivier Sarbach

We present a formulation of the spherically decomposed Green's function for a Schwarzschild black hole, based on a decomposition into two components, $G^+$ and $G^-$, based on their large-frequency behaviour. While similar decompositions…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Junquan Su , Neev Khera , Marc Casals , Sizheng Ma , Abhishek Chowdhuri , Huan Yang

The 'retarded' Green function for fields propagating on a Schwarzschild black hole spacetime possesses a branch cut on the complex frequency plane. Classically, the branch cut is important, for example, in order to fully determine the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Marc Casals , Adrian C. Ottewill

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

By using a quasi-stationary approach, we consider the mass evolution of Schwarzschild black holes in the presence of a nonminimally coupled cosmological scalar field. The mass evolution equation is analytically solved for generic coupling,…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Manuela G. Rodrigues , Alberto Saa

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

We investigate the quasinormal modes (QNMs) of a massive scalar field in the background of a regular black hole arising from the proper-time flow in asymptotically safe gravity. This quantum-corrected geometry, characterized by a…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Milena Skvortsova

We study quasinormal modes and time-domain profiles of a massive scalar field in the background of black holes arising in Einstein--Gauss--Bonnet--Proca gravity. The black holes in this theory possess \emph{primary Proca hair}, which…

General Relativity and Quantum Cosmology · Physics 2025-10-01 B. C. Lütfüoğlu

We study two singular spectral components of the Green's function of a Schwarzschild black hole and their interpretation in the frequency domain: (i) the low-frequency branch cut, which yields corrections to Price's law tails in the form of…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Romeo Felice Rosato , Marina De Amicis , Paolo Pani

The evolution of scalar, electromagnetic and gravitational fields around spherically symmetric black hole surrounded by quintessence are studied with special interest on the late-time behavior. In the ring down stage of evolution, we find…

General Relativity and Quantum Cosmology · Physics 2012-10-02 Nijo Varghese , V. C. Kuriakose

Parametric deviations of quasinormal modes~(QNMs) is a common feature of beyond General Relativity (GR) theories. For theories with additional degrees of freedom, such as scalars and vectors, new family of modes might appear, usually called…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Orival R. de Medeiros , Mateus Malato Corrêa , Caio F. B. Macedo

In this paper, we study the quasinormal mode and late-time tail of charged massless scalar perturbations of a black hole in the generalized Rastall gravity. The black hole metric in question is spherically symmetric, accompanied by a…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Cai-Ying Shao , Yu-Jie Tan , Cheng-Gang Shao , Kai Lin , Wei-Liang Qian

We present a new analytic approach for the study of late time evolution of linear test-fields, propagating on the exterior of black holes. This method provides a calculation scheme applicable to Kerr black holes (for which case no analytic…

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

We show that retarded Green's functions of black hole spacetimes can be expressed as a convergent mode sum everywhere in spacetime. At late times a quasinormal mode sum converges, while at early times a Matsubara (or, Euclidean) mode sum…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Paolo Arnaudo , Javier Carballo , Benjamin Withers

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 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

In this paper we study the scalar Green function in the Kerr spacetime using WKB methods. The Green function can be expressed by Fourier-transforming to its frequency-domain counterpart, and with the help of complex analysis it can be…

General Relativity and Quantum Cosmology · Physics 2014-04-22 Huan Yang , Fan Zhang , Aaron Zimmerman , Yanbei Chen
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