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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

We study the singularity created in the supercritical collapse of a spherical massless scalar field. We first model the geometry and the scalar field to be homogeneous, and find a generic solution (in terms of a formal series expansion)…

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

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

Starting from Post-Newtonian predictions for a system of $N$ infalling masses from the infinite past, we formulate and solve a scattering problem for the system of linearised gravity around Schwarzschild as introduced in [DHR19]. The…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Lionor Kehrberger , Hamed Masaood

We establish a decay result in the black hole exterior region of spherically symmetric solutions to the Einstein-Maxwell-scalar field system arising from compactly supported admissible data. Our result allows for large initial data, and it…

General Relativity and Quantum Cosmology · Physics 2024-12-25 Onyx Gautam

We consider extension of some established techniques of study of tensor fields on Lorentzian manifolds of arbitrary dimension to non-Abelian gauge covariant fields. These are then applied to study of gauge fields with vanishing scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Martin Kuchynka

The Klein-Gordon equation for the wave function of a single massive scalar is written in spherical and parabolic coordinates in the presence of a Schwarzschild background, and some semi-classical techniques for deriving asymptotic results…

General Relativity and Quantum Cosmology · Physics 2011-06-15 Derek Lee

We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational…

High Energy Physics - Theory · Physics 2014-11-21 Yi-Fu Cai , Damien A. Easson

We revisit and generalize, to the Einstein-Yang-Mills-Higgs system, previous results of D. Christodoulou and D. Chae concerning global solutions for the Einstein-scalar field and the Einstein-Maxwell-Higgs equations. The novelty of the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Calvin Tadmon , Sophonie Blaise Tchapnda

We study quasinormal modes, greybody factors, and the absorption cross section of a massive scalar field in the asymptotically flat parity-symmetric beyond-Horndeski black-hole background. The scalar mass raises the asymptotic level of the…

General Relativity and Quantum Cosmology · Physics 2026-05-13 S. V. Bolokhov

We present stable solution of static spherically symmetric Einstein-Yang-Mills equations with the SU(2) gauge group. This solution is asymptotically flat and regular at r = 0 and with nontrivial Yang-Mills(YM) connection. With quantized…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Yuewen Chen , Jie Du , Shing-Tung Yau

We make use of Friedrich's representation of spatial infinity to study asymptotic expansions of the Maxwell-scalar field system near spatial infinity. The main objective of this analysis is to understand the effects of the non-linearities…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Marica Minucci , Rodrigo Panosso Macedo , Juan Antonio Valiente Kroon

Black holes are a paradigm in nowadays physics, and are expected to be hosted at the center of galaxies. Supermassive galactic black holes are not isolated, and their surroundings play crucial roles in many observational features. The…

General Relativity and Quantum Cosmology · Physics 2016-04-04 Caio F. B. Macedo , Luiz C. S. Leite , Luís C. B. Crispino

The aim of this note is to clarify the structure of nontrivial global solutions with nonpositive ADM mass for the static, spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. The presented numerical results…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. Yu. Zotov

The formation of black holes by the gravitational collapse of stars is known to spontaneously excite particle pairs out of the quantum vacuum. For the canonical vacuum state at past null infinity, the expected number of particles received…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Pedro Duarte Baptista , Alex Vañó-Viñuales , Adrían del Río

We present the numerical implementation of a clean solution to the outer boundary and radiation extraction problems within the 3+1 formalism for hyperbolic partial differential equations on a given background. Our approach is based on…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Anil Zenginoglu , Lawrence E. Kidder

We investigated the stability of the spherically symmetric non-abelian (Bartnik-McKinnon) black hole solution of the SU(2) Einstein-Yang-Mills system using the multiple-scale analysis. It is found, in contrast with the vacuum situation,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Reinoud J. Slagter

We consider a massless scalar field propagating on the exterior of the extreme Reissner-Nordstr\"om black hole. Using a discrete conformal symmetry of this spacetime, we draw a one-to-one relationship between the behavior of the field near…

General Relativity and Quantum Cosmology · Physics 2013-02-20 Piotr Bizoń , Helmut Friedrich

We prove that sufficiently regular solutions to the wave equation $\Box_g\phi=0$ on the exterior of the Schwarzschild black hole obey the estimates $|\phi|\leq C_\delta v_+^{-{3/2}+\delta}$ and $|\partial_t\phi|\leq C_{\delta}…

General Relativity and Quantum Cosmology · Physics 2010-11-09 Jonathan Luk

We have studied quasinormal modes of scalar perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole and the spherical harmonic index is varied…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Sharmanthie Fernando , Tyler Clark