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We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from 10 scalar…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Leor Barack , Carlos O. Lousto

Gravitational self-force theory is the leading approach for modeling gravitational wave emission from small mass-ratio compact binaries. This method perturbatively expands the metric of the binary in powers of the mass ratio. The source for…

广义相对论与量子宇宙学 · 物理学 2022-06-02 Rodrigo Panosso Macedo , Benjamin Leather , Niels Warburton , Barry Wardell , Anıl Zenginoğlu

We obtain a fourth order accurate numerical algorithm to integrate the Zerilli and Regge-Wheeler wave equations, describing perturbations of nonrotating black holes, with source terms due to an orbiting particle. Those source terms contain…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Carlos O. Lousto

We present a novel approach, $\textit{Metric pErTuRbations wIth speCtral methodS}$ (METRICS), to calculate the gravitational metric perturbations and the quasinormal-mode frequencies of rotating black holes of any spin without decoupling…

广义相对论与量子宇宙学 · 物理学 2024-03-05 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

Extreme-mass-ratio inspirals (EMRIs), stellar-mass compact objects (SCOs) inspiralling into a massive black hole, are one of the main sources of gravitational waves expected for the Laser Interferometer Space Antenna (LISA). To extract the…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Priscilla Canizares , Carlos F. Sopuerta

We discuss simple integration methods for the calculation of rotating black hole scattering resonances both in the complex frequency plane (quasinormal modes) and the complex angular momentum plane (Regge poles). Our numerical schemes are…

广义相对论与量子宇宙学 · 物理学 2009-11-10 K. Glampedakis , N. Andersson

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…

We numerically investigate the interior of a four-dimensional, asymptotically flat, spherically symmetric charged black hole perturbed by a scalar field $\Phi$. Previous study by Marolf and Ori indicated that late infalling observers will…

广义相对论与量子宇宙学 · 物理学 2016-12-07 Ehud Eilon , Amos Ori

An Extreme Mass Ratio Inspiral (EMRI), which corresponds to a small compact object inspirals around a massive black hole in the center of a galaxy, is one of the most important sources for future space-borne gravitational-wave (GW)…

广义相对论与量子宇宙学 · 物理学 2025-09-25 Yi-Xiang Wei , Xian-Long Zhu , Jian-dong Zhang , Jianwei Mei

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for…

广义相对论与量子宇宙学 · 物理学 2022-08-04 Philip Lynch , Maarten van de Meent , Niels Warburton

The mode-sum method provides a practical means for calculating the self force acting on a small particle orbiting a larger black hole. In this method, one first computes the spherical-harmonic $l$-mode contributions $F^{\mu}_l$ of the "full…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Leor Barack , Amos Ori , Norichika Sago

Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole…

数值分析 · 数学 2021-02-09 Charalampos Markakis , Michael F. O'Boyle , Pablo D. Brubeck , Leor Barack

We present a numerical code for calculating the local gravitational self-force acting on a pointlike particle in a generic (bound) geodesic orbit around a Schwarzschild black hole. The calculation is carried out in the Lorenz gauge: For a…

广义相对论与量子宇宙学 · 物理学 2015-05-15 Leor Barack , Norichika Sago

We present a new method designed to avoid numerical challenges that have impeded calculation of the Lorenz gauge self-force acting on a compact object inspiraling into a Kerr black hole. This type of calculation is valuable in creating…

广义相对论与量子宇宙学 · 物理学 2022-09-08 Thomas Osburn , Nami Nishimura

In this work we have used for the first time pseudo-spectral methods to perform numerical simulations of spherically symmetric black hole formations on a Friedman-Robertson-Walker universe. With these methods, the differential equations…

广义相对论与量子宇宙学 · 物理学 2020-07-07 Albert Escrivà

The foundations are laid for the numerical computation of the actual worldline for a particle orbiting a black hole and emitting gravitational waves. The essential practicalities of this computation are here illustrated for a scalar…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Steven Detweiler , Eirini Messaritaki , Bernard F. Whiting

The gravitational-wave signals emitted by Extreme-Mass-Ratio Inspirals will be hidden in the instrumental LISA noise and the foreground noise produced by galactic binaries in the LISA band. Then, we need accurate gravitational-wave…

广义相对论与量子宇宙学 · 物理学 2010-10-01 Priscilla Canizares , Carlos F. Sopuerta

We present a new method for the calculation of black hole perturbations induced by extended sources in which the solution of the nonlinear hydrodynamics equations is coupled to a perturbative method based on Regge-Wheeler/Zerilli and…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Valeria Ferrari , Leonardo Gualtieri , Luciano Rezzolla

We propose an approach for the calculation of self-forces, energy fluxes and waveforms arising from moving point charges in curved spacetimes. As opposed to mode-sum schemes that regularize the self-force derived from the singular retarded…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Ian Vega , Steven Detweiler

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

广义相对论与量子宇宙学 · 物理学 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes