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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

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

Oscillations of black hole spacetimes exhibit divergent behavior toward the bifurcation sphere and spatial infinity. This divergence can be understood as a consequence of the geometry in these spacetime regions. In contrast, black-hole…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Rodrigo Panosso Macedo , Anil Zenginoglu

We consider the scalar wave equation with power nonlinearity in n+1 dimensions. Unlike most previous numerical studies, we go beyond the radial case and do not assume any symmetries for n=3, and we only impose an SO(n-1) symmetry in higher…

Numerical Analysis · Mathematics 2025-11-05 Oliver Rinne

The Effective Field Theory (EFT) of perturbations on an arbitrary background geometry with a timelike scalar profile has been recently constructed in the context of scalar-tensor theories. Unlike General Relativity, the regular Hayward…

General Relativity and Quantum Cosmology · Physics 2023-07-06 R. A. Konoplya

We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 +1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Sharmanthie Fernando , P. A. González , Yerko Vásquez

We study quasinormal modes, including the quasi-resonant regime, grey-body factors, and absorption cross sections of a massive scalar field in a Reissner--Nordstr\"om-like brane-world black hole endowed with a tidal-charge parameter induced…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Zainab Malik

We present simulations of the Einstein-Maxwell-Klein-Gordon system on compactified hyperboloidal slices. To the best of our knowledge, this is the first time that this setup is evolved with a common formulation like BSSN/Z4. Hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-11-10 João D. Álvares , Alex Vaño-Viñuales

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 derive an expression for the quasinormal modes of scalar perturbations in near extreme d-dimensional Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter black holes. We show that, in the near extreme limit, the dynamics of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Molina

We study the quantum analogue of the classical process of superradiance for a massless charged scalar field on a static charged black hole space-time. We show that an "in" vacuum state, which is devoid of particles at past null infinity,…

General Relativity and Quantum Cosmology · Physics 2020-11-10 Visakan Balakumar , Rafael P. Bernar , Luis C. B. Crispino , Elizabeth Winstanley

We describe the full nonlinear development of the superradiant instability for a charged massless scalar field, coupled to general relativity and electromagnetism, in the vicinity of a Reissner-Nordstrom-AdS black hole. The presence of the…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Pablo Bosch , Stephen R. Green , Luis Lehner

We examine the quasinormal modes exhibited by a massive scalar test field carrying an electric charge, oscillating in the outer region of a Reissner-Nordstr\"om de Sitter black hole. We examine the quasinormal mode effective potential…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Anna Chrysostomou , Alan S. Cornell , Aldo Deandrea , Seong Chan Park

The anomalous decay rate of the quasinormal modes occurs when the longest-lived modes are the ones with higher angular number. Such behaviour has been recently studied in different static spacetimes, for scalar and fermionic perturbations,…

General Relativity and Quantum Cosmology · Physics 2021-03-10 R. D. B. Fontana , P. A. González , Eleftherios Papantonopoulos , Yerko Vásquez

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 study quasinormal modes of massive scalar and massless Dirac fields in the background of regular black holes and traversable wormholes arising in Covariant Effective Quantum Gravity. Using both the JWKB approximation and time-domain…

General Relativity and Quantum Cosmology · Physics 2025-07-01 B. C. Lütfüoğlu

Here we show that the phenomenon of arbitrarily long-lived quasinormal modes (called quasiresonances) of a massive scalar field in the vicinity of a black hole is not an artifact of the test field approximation, but takes place also when…

General Relativity and Quantum Cosmology · Physics 2018-11-26 R. A. Konoplya , Z. Stuchlík , A. Zhidenko

We investigate the quasinormal modes of the spinning C-metric with a massless scalar field conformally coupled with gravity. Conformal transformation is employed to separate and subsequently solve the massless scalar field equations. As the…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Bogeun Gwak

In the present paper we study the scalar sector of the quasinormal modes of charged general relativistic, static and spherically symmetric black holes coupled to nonlinear electrodynamics and embedded in a class of scalar-tensor theories.…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Daniela D. Doneva , Stoytcho S. Yazadjiev , Kostas D. Kokkotas , Ivan Zh. Stefanov

We consider a scalar field propagating in the static region of the two dimensional de Sitter space. This simple system is used to illustrate the advantages of hyperboloidal foliations in the analysis of quasinormal modes.

General Relativity and Quantum Cosmology · Physics 2020-06-24 Piotr Bizoń , Tadeusz Chmaj , Patryk Mach
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