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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 performed a careful numerical analysis of the late tail behaviour of waves propagating in the Schwarzschild spacetime. Specifically the scalar monopole, the electromagnetic dipole and the gravitational axial quadrupole waves have been…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Janusz Karkowski , Zdobyslaw Swierczynski , Edward Malec

We study quasinormal modes and grey-body factors of a massive scalar field in the background of a Schwarzschild black hole surrounded by a spherically symmetric galactic dark matter halo. The background metric, recently obtained as an…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Zainab Malik

We study numerically the fully nonlinear gravitational collapse of a self-gravitating, minimally-coupled, massless scalar field in spherical symmetry. Our numerical code is based on double-null coordinates and on free evolution of the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lior M. Burko , Amos Ori

Some well known gauge scalar potential very often considered or used in the literature are investigated by means of the classical Yang Mills equations for the $SU(2)$ subgroups of $N_c=3$. By fixing a particular shape for the scalar…

High Energy Physics - Phenomenology · Physics 2022-08-02 Igor de M. Froldi , Fabio L. Braghin

We study magnetically charged black holes in the Einstein-Yang-Mills-Higgs theory in the limit of infinitely strong coupling of the Higgs field. Using mixed analytical and numerical methods we give a complete description of static…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Peter C. Aichelburg , Piotr Bizon

We study scalar and electromagnetic perturbations of a family of nonsingular nonrotating black hole spacetimes that are solutions in a large class of conformally invariant theories of gravity. The effective potential for scalar…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Bobir Toshmatov , Cosimo Bambi , Bobomurat Ahmedov , Zdeněk Stuchlík , Jan Schee

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 summarize the results of an investigation into the late time behavior of massless scalar fields propagating on spherically symmetric black hole spacetimes with a non-zero cosmological constant. The compatibility of these results with the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris M. Chambers , Patrick R. Brady , William Krivan , Pablo Laguna

This thesis deals with critical collapse of a massless scalar field coupled to Einstein's equations in spherical symmetry. The system is numerically investigated from both global and local points of view using a characteristic slicing and…

General Relativity and Quantum Cosmology · Physics 2007-08-15 Michael Pürrer

The pure quadratic term of New Massive Gravity in three dimensions admits asymptotically locally flat, rotating black holes. These black holes are characterized by their mass and angular momentum, as well as by a hair of gravitational…

High Energy Physics - Theory · Physics 2019-05-01 Andres Anabalon , Octavio Fierro , Jose Figueroa , Julio Oliva

We describe the hyperboloidal compactification for Teukolsky equations in Kerr spacetime. We include null infinity on the numerical grid by attaching a hyperboloidal layer to a compact domain surrounding the rotating black hole and the…

General Relativity and Quantum Cosmology · Physics 2011-12-13 Anıl Zenginoğlu , Gaurav Khanna

We study the massive scalar field equation $\Box_g \phi = m^2 \phi$ on a stationary and spherically symmetric black hole $g$ (including in particular the Schwarzschild and Reissner--Nordstr\"om black holes in the full sub-extremal range)…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Federico Pasqualotto , Yakov Shlapentokh-Rothman , Maxime Van de Moortel

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 derive precise late-time asymptotics for solutions to the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes including as special cases the Schwarzschild and Reissner-Nordstrom families of black holes.…

Analysis of PDEs · Mathematics 2018-02-16 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

We analyze the late-time decay of scalar perturbations in extremal Reissner-Nordstrom spacetime. We consider individual spherical-harmonic modes $l$ of a test massless scalar field, restricting our attention to initial data of compact…

General Relativity and Quantum Cosmology · Physics 2018-01-16 Orr Sela

In this paper, the study of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime is continued. The normalization constants for the eigenfunctions of the corresponding radial equation are calculated,…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Mikhail N. Smolyakov

This is the second part of a series of papers deriving the precise, late-time behaviour and (in)stability properties of charged scalar fields on near-extremal Reissner--Nordstr\"om spacetimes via energy estimates. In this paper, we use…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Dejan Gajic

We examine perturbations of a massive scalar field around spherically symmetric, brane-localized black holes. Although the ringdown and asymptotic tails of various brane-world black holes have been extensively studied, there has been no…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Alexey Dubinsky

We study the accretion of a Schwarzschild black hole due to spherically symmetric perturbations sourced by a minimally coupled massless scalar field. The backreaction of the black hole to low-frequency ingoing scalar waves is computed…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Marco de Cesare , Roberto Oliveri