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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…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Olivier Sarbach , Manuel Tiglio

The computation of the gravitational radiation emitted by a particle falling into a Schwarzschild black hole is a classic problem studied already in the 1970s. Here we present a detailed numerical analysis of the case of radial infall…

广义相对论与量子宇宙学 · 物理学 2011-03-23 Ermis Mitsou

We revisit the problem of plane monochromatic gravitational waves impinging upon a Schwarzschild black hole using complex angular momentum techniques. By extending our previous study concerning scalar and electromagnetic waves [A. Folacci…

广义相对论与量子宇宙学 · 物理学 2019-09-06 Antoine Folacci , Mohamed Ould El Hadj

We present a new computation of the asymptotic gravitational wave energy fluxes emitted by a {\it spinning} particle in circular equatorial orbits about a Kerr black hole. The particle dynamics is computed in the pole-dipole approximation,…

广义相对论与量子宇宙学 · 物理学 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

It is shown that the axial and polar perturbations of the spherically symmetric black hole can be described in a gauge-invariant way. The reduced phase space describing gravitational waves outside of the horizon is described by the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Jacek Jezierski

We investigate gravitational waves from a dust disk around a Schwarzschild black hole to focus on whether we can extract any of its physical properties from a direct detection of gravitational waves. We adopt a black hole perturbation…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hajime Sotani , Motoyuki Saijo

Using the Teukolsky and Sasaki-Nakamura formalisms for the perterbations around a Kerr black hole, we calculate the energy flux of gravitational waves induced by a {\it spinning} particle of mass $\mu$ and spin $S$ moving in circular orbits…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Takahiro Tanaka , Yasushi Mino , Misao Sasaki , Masaru Shibata

We present the first orbit-integrated self force effects on the gravitational waveform for an I(E)MRI source. We consider the quasi-circular motion of a particle in the spacetime of a Schwarzschild black hole and study the dependence of the…

广义相对论与量子宇宙学 · 物理学 2012-11-28 Kristen A. Lackeos , Lior M. Burko

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Steve Drasco , Scott A. Hughes

We investigate how GWs pass through the spacetime of a Schwarzschild black hole using time-domain numerical simulations. Our work is based on the perturbed 3+1 Einstein's equations up to the linear order. We show explicitly that our…

广义相对论与量子宇宙学 · 物理学 2022-12-29 Jian-hua He , Zhenyu Wu

This article explores the motion of massive particles in the gravitational field of a modified gravity (MOG) black hole (BH), characterized by the parameter $\alpha$. Using the Hamiltonian formalism, the geodesic equations and the effective…

广义相对论与量子宇宙学 · 物理学 2025-01-20 Oreeda Shabbir , Mubasher Jamil , Mustapha Azreg-Aïnou

We explore potential quantum gravity signatures by studying periodic orbits and their GW emissions around a novel regular black hole (BH) featuring a Minkowski core. Using a rational number $q$, periodic orbits are classified, revealing…

广义相对论与量子宇宙学 · 物理学 2026-05-06 Huajie Gong , Sheng Long , Xi-Jing Wang , Zhongwu Xia , Jian-Pin Wu , Qiyuan Pan

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

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski

Extreme mass-ratio inspirals are crucial sources for future space-based gravitational wave detections. Gravitational waveforms emitted by extreme mass-ratio inspirals are closely related to the orbital dynamics of small celestial objects,…

广义相对论与量子宇宙学 · 物理学 2025-04-08 Sen Yang , Yu-Peng Zhang , Tao Zhu , Li Zhao , Yu-Xiao Liu

We describe a special class of ballistic geodesics in Schwarzschild space-time, extending to the horizon in the infinite past and future of observer time, which are characterized by the property that they are in 1-1 correspondence, and…

广义相对论与量子宇宙学 · 物理学 2015-03-06 G. d'Ambrosi , J. W. van Holten

The first objective of this work is to obtain practical prescriptions to calculate the absorption of mass and angular momentum by a black hole when external processes produce gravitational radiation. These prescriptions are formulated in…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Eric Poisson

Fast, reliable orbital evolutions of compact objects around massive black holes will be needed as input for gravitational wave search algorithms in the data stream generated by the planned Laser Interferometer Space Antenna (LISA).…

广义相对论与量子宇宙学 · 物理学 2012-03-06 Sarp Akcay

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Nigel T. Bishop , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

The gravitational waves and energy radiations from a spinning compact object with stellar mass in a circular orbit in the equatorial plane of a supermassive Kerr black hole are investigated in this paper. The effect how the spin acts on…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Wen-Biao Han