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The growing reality of gravitational wave astronomy is giving age-old problems a new lease of life; one such problem is that of the self-force. A charged or massive particle moving in a curved background space-time produces a field that…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Anna Heffernan

The Landau-Lifshitz equation describes the dynamics of magnetization in ferromagnetic materials. Due to the essential nonlinearity and nonconvex constraint, it is typically solved numerically. In this paper, we developed a finite volume…

Numerical Analysis · Mathematics 2026-05-18 Yunjie Gong , Jingrun Chen , Rui Du , Panchi Li

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

Quantitative versions of mode stability type statements for the wave equation on Kerr-Newman black holes are proven for the full sub-extremal range. The mode stability result on the real axis is then applied to prove integrated local energy…

General Relativity and Quantum Cosmology · Physics 2014-05-15 Damon Civin

Within the effective field theory approach to gravity, deviations from general relativity can be systematically described by higher-curvature operators. However, computing the resulting corrections to black hole quasinormal mode spectra…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Tom van der Steen , Simon Maenaut , Stef J. B. Husken , Pedro G. S. Fernandes , Maxim D. Jockwer , Vitor Cardoso , Thomas Hertog , Tjonnie G. F. Li

We present a novel approach to the numerical computation of quasi-normal modes, based on the first-order (in radial derivative) formulation of the equations of motion and using a matrix version of the continued fraction method. This…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Hugo Roussille , David Langlois , Karim Noui

We calculate the quasinormal modes of a nonsingular spherically symmetric black hole effective model with holonomy corrections. The model is based on quantum corrections inspired by loop quantum gravity. It is covariant and results in a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Douglas M. Gingrich

The accuracy of time-domain solutions of the inhomogeneous Teukolsky equation is improved significantly. Comparing energy fluxes in gravitational waves with highly accurate frequency-domain results for circular equatorial orbits in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lior M. Burko , Gaurav Khanna

Existing constraints on the graviton mass from gravitational-wave detections rely on the phase difference developed between different frequencies during the propagation. Effects on the quasinormal-mode frequencies of the black-hole ringdown…

General Relativity and Quantum Cosmology · Physics 2019-06-18 Ka-Wai Chung , Tjonnie Guang Feng Li

We present a new method for calculation of the gravitational self-force (GSF) in Kerr geometry, based on a time-domain reconstruction of the metric perturbation from curvature scalars. In this approach, the GSF is computed directly from a…

General Relativity and Quantum Cosmology · Physics 2017-06-12 Leor Barack , Paco Giudice

Many different cosmological models have been proposed to address the cosmological constant problem and the coincidence problem. We compare here four different models that can be used to describe an effective (time-dependent) cosmological…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Cecilia Chirenti , Manuela G. Rodrigues

We discuss the gravitational self-force on a particle in a black hole space-time. For a point particle, the full (bare) self-force diverges. The metric perturbation induced by a particle can be divided into two parts, the direct part (or…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Wataru Hikida , Hiroyuki Nakano , Misao Sasaki

The measurement of the epicyclic frequencies is a widely used astrophysical technique to infer information on a given self-gravitating system and on the related gravity background. We derive their explicit expressions in static and…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Vittorio De Falco , Mariafelicia De Laurentis , Salvatore Capozziello

On the basis of a recently proposed strategy of finite element integration in time domain for partial differential equations with a singular source term, we present a fourth order algorithm for non-rotating black hole perturbations in the…

General Relativity and Quantum Cosmology · Physics 2011-06-17 Patxi Ritter , Alessandro D. A. M. Spallicci , Sofiane Aoudia , Stephane Cordier

Recent works have suggested that nonlinear (quadratic) effects in black hole perturbation theory may be important for describing a black hole ringdown. We show that the technique of uniform approximations can be used to accurately compute…

High Energy Physics - Theory · Physics 2023-12-12 Bruno Bucciotti , Adrien Kuntz , Francesco Serra , Enrico Trincherini

We extend the frequency-domain analysis of quasinormal modes in a dynamical, spherically symmetric black hole spacetime undergoing constant-rate mass evolution. In particular, we report a novel feature of the spectrum: the presence of…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Lodovico Capuano , Thomas Lovo , Gorka Prieto-Varela , Subhodeep Sarkar , Adrien Kuntz , Enrico Barausse , Dawood Kothawala

In this work, we re-assess a class of black hole solutions in a global monopole spacetime in the framework of an $f(R)$-gravity model. Our main line of investigation consists in considering a region close enough to the black hole, but such…

We propose a hybrid Finite Volume (FV) - Spectral Element Method (SEM) for modelling aeroacoustic phenomena based on the Lighthill's acoustic analogy. First the fluid solution is computed employing a FV method. Then, the sound source term…

Numerical Analysis · Mathematics 2023-11-03 Alberto Artoni , Paola F. Antonietti , Ilario Mazzieri , Nicola Parolini , Daniele Rocchi

Fast Fourier transform based estimators are formulated for measuring momentum power spectra, including the auto power spectra of the momentum, the momentum divergence, and the cross spectrum of density fluctuation and momentum divergence.…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-30 Jun Pan

We describe a new model of massless thermal bosons which predicts an hyperbolic fluctuation spectrum at low frequencies. It is found that the partition function per mode is the Euler generating function for unrestricted partitions $p(n)$.…

Mathematical Physics · Physics 2009-11-10 Michel Planat