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We develop a black hole response formulation of worldline quantum field theory (WQFT) adapted to the gravitational self-force expansion. Integrating out the worldline and graviton fluctuations yields connected graviton response functions:…

High Energy Physics - Theory · Physics 2026-05-08 Lara Bohnenblust , Carl Jordan Eriksen , Jitze Hoogeveen , Gustav Uhre Jakobsen , Jan Plefka

We compute the accuracy at which a LISA-like space-based gravitational wave detector will be able to observe deviations from General Relativity in the low frequency approximation. To do so, we introduce six correction parameters that…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Cédric Huwyler , Antoine Klein , Philippe Jetzer

Gravitational decoupling can add hair to the black holes by adding extra sources. The quasinormal modes of hairy black hole caused by gravitational decoupling for the massless scalar field, electromagnetic field, and gravitational…

General Relativity and Quantum Cosmology · Physics 2023-03-24 Yi Yang , Dong Liu , Ali Övgün , Zheng-Wen Long , Zhaoyi Xu

We formulate a new analytical method for regularizing the self-force acting on a particle of small mass $\mu$ orbiting a black hole of mass $M$, where $\mu\ll M$. At first order in $\mu$, the geometry is perturbed and the motion of the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Wataru Hikida , Sanjay Jhingan , Hiroyuki Nakano , Norichika Sago , Misao Sasaki , Takahiro Tanaka

The description of extreme-mass-ratio binary systems in the inspiral phase is a challenging problem in gravitational wave physics with significant relevance for the space interferometer LISA. The main difficulty lies in the evaluation of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos F. Sopuerta , Pablo Laguna

Treating the Teukolsky perturbation equation numerically as a 2+1 PDE and smearing the singularities in the particle source term by the use of narrow Gaussian distributions, we have been able to reproduce earlier results for equatorial…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ramon Lopez-Aleman , Gaurav Khanna , Jorge Pullin

This paper investigates the characteristics of quasinormal modes (QNMs) of static, spherically symmetric black holes under the combined influence of spontaneous Lorentz symmetry breaking (LSB) induced by the Kalb-Ramond (KR) field and…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Zongyuan Qin , Taiyang Zhang , Qian Feng , Zheng-Wen Long

We generalize to Kerr spacetime previous gravitational self-force results on gyroscope precession along circular orbits in the Schwarzschild spacetime. In particular we present high order post- Newtonian expansions for the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Donato Bini , Thibault Damour , Andrea Geralico , Chris Kavanagh , Maarten van de Meent

Using Leaver's continue fraction and time domain method, we investigate the wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole. We find that the presence of the negative kinetic energy terms modifies…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Songbai Chen , Jiliang Jing , Qiyuan Pan

We study gravitational perturbations of the Bonanno--Reuter quantum-corrected black hole arising in the asymptotic safety scenario, focusing on QNMs and grey-body factors. Assuming the RG parameter $\tilde{\omega}$ is fixed to its…

General Relativity and Quantum Cosmology · Physics 2025-07-11 S. V. Bolokhov , Milena Skvortsova

The objective of this paper is to construct the accurate (say, to 11 decimal places) frequencies of the quasinormal modes of the 5-dimensional Schwarzschild-Tangherlini black hole using three major techniques: the Hill determinant method,…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Jerzy Matyjasek

Finite difference method and pseudo-spectral method have been widely used in the numerical relativity to solve the Einstein equations. As the third major category method to solve partial differential equations, finite element method is much…

General Relativity and Quantum Cosmology · Physics 2018-05-29 Zhoujian Cao , Pei Fu , Li-Wei Ji , Yinhua Xia

We analyze the quasinormal modes (QNMs) of a recently obtained solution of a Schwarzschild black hole (BH) with corrections motivated by Loop Quantum Gravity (LQG). This spacetime is regular everywhere and presents the global structure of a…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Zeus S. Moreira , Haroldo C. D. Lima Junior , Luís C. B. Crispino , Carlos A. R. Herdeiro

We present an extension of work in an earlier paper showing high precision comparisons between black hole perturbation theory and post-Newtonian (PN) theory in their region of overlapping validity for bound, eccentric-orbit, Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Christopher Munna , Charles R. Evans , Seth Hopper , Erik Forseth

A high-order space-time flux reconstruction (FR) method has been developed to solve conservation laws on moving domains. In the space-time framework, the moving domain simulation is similar to that on a stationary domain, except that the…

Numerical Analysis · Mathematics 2024-09-24 Meilin Yu

We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system. Since…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Rezzolla , A. M. Abrahams , T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

We present a new method for determining the frequencies and wavefunctions of black hole quasinormal modes (QNMs) and Regge poles. The key idea is a novel ansatz for the wavefunction, which relates the high-$l$ wavefunctions to null…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Sam R. Dolan , Adrian C. Ottewill

We study the axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity. Considering the axial perturbation of the background spacetime, we obtain the Schr\"{o}dinger-like master equation. Then we calculate the…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Sen Yang , Wen-Di Guo , Qin Tan , Yu-Xiao Liu

This paper introduces a novel technique to preserve spectral features in lossy compression based on a novel fast Fourier correction algorithm\added{ for regular-grid data}. Preserving both spatial and frequency representations of data is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-06 Congrong Ren , Robert Underwood , Sheng Di , Emrecan Kutay , Zarija Lukic , Aylin Yener , Franck Cappello , Hanqi Guo

We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild black hole. We explain how to obtain the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olivier Sarbach , Manuel Tiglio