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As a first step towards the calculation of waveform of Extreme Mass Ratio Inspirals for Modified Gravity theories, we calculate the orbital frequencies of a Small Compact Object inspiralling into a super massive blackhole for a Nonlocal…

广义相对论与量子宇宙学 · 物理学 2020-08-11 Avani Patel

We present an analytic method for computing gravitational-wave fluxes from bound Schwarzschild geodesics with arbitrary eccentricity. Our approach systematically expands the Fourier coefficients of the emitted radiation in a Chebyshev…

广义相对论与量子宇宙学 · 物理学 2026-05-28 Majed Khalaf , Chris Kavanagh , Ofri Telem

In this paper, we investigate periodic bound orbits and gravitational wave (GW) emission in the Schwarzschild-Bertotti-Robinson (Schwarzschild-BR) spacetime-an exact electrovacuum solution describing a static black hole (BH) immersed in a…

广义相对论与量子宇宙学 · 物理学 2026-02-11 Tursunali Xamidov , Sanjar Shaymatov , Qiang Wu , Tao Zhu

The stability of Reissner-N\"ordstrom black holes with an extremal mass-charge relation was determined by calculating the propagation speed of gravitational waves on this background in an effective field theory (EFT) of gravity. New results…

广义相对论与量子宇宙学 · 物理学 2024-09-12 Miguel Barroso Varela , Hugo Rauch

The equations of motion of a point particle interacting with its own field are defined in terms of a certain regularized self-field. Two of the leading methods for computing this regularized field are the mode-sum and effective-source…

广义相对论与量子宇宙学 · 物理学 2014-10-28 Niels Warburton , Barry Wardell

We present a new approach to solve the 2+1 Teukolsky equation for gravitational perturbations of a Kerr black hole. Our approach relies on a new horizon penetrating, hyperboloidal foliation of Kerr spacetime and spatial compactification. In…

广义相对论与量子宇宙学 · 物理学 2014-11-26 Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

Extreme mass-ratio inspirals (EMRIs), consisting of a stellar-mass black hole orbiting a supermassive black hole, are among the primary targets for future space-based gravitational wave detectors. By analyzing the emitted gravitational wave…

广义相对论与量子宇宙学 · 物理学 2025-06-24 Li Huang

We examine the frequencies of the fundamental ($f$-) and the gravity ($g_i$-) mode in gravitational waves from accreting protoneutron stars (PNSs) toward black hole formation. For this purpose, we analyze numerical results of gravitational…

高能天体物理现象 · 物理学 2019-10-17 Hajime Sotani , Kohsuke Sumiyoshi

We continue a previous work on the comparison between the post-Newtonian (PN) approximation and the gravitational self-force (SF) analysis of circular orbits in a Schwarzschild background. We show that the numerical SF data contain physical…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

Gravitational waves from the inspiral of a stellar-size black hole to a supermassive black hole can be accurately approximated by a point particle moving in a Kerr background. This paper presents progress on finding the electromagnetic and…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Tobias S. Keidl , John L. Friedman , Alan G. Wiseman

To model the radiative evolution of extreme mass-ratio binary inspirals (a key target of the LISA mission), the community needs efficient methods for computation of the gravitational self-force (SF) on the Kerr spacetime. Here we further…

广义相对论与量子宇宙学 · 物理学 2011-02-08 Sam R. Dolan , Leor Barack

After the final stage of the merger of two black holes, the ringdown signal takes an important role on providing information about the gravitational dynamics in strong field. We introduce a novel time-domain (TD) approach, predicated on the…

广义相对论与量子宇宙学 · 物理学 2024-10-31 Hai-Tian Wang , Garvin Yim , Xian Chen , Lijing Shao

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

广义相对论与量子宇宙学 · 物理学 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

A leading approach to the modelling of extreme mass ratio inspirals involves the treatment of the smaller mass as a point particle and the computation of a regularized self-force acting on that particle. In turn, this computation requires…

广义相对论与量子宇宙学 · 物理学 2012-09-28 Barry Wardell , Ian Vega , Jonathan Thornburg , Peter Diener

We provide expansions of the Detweiler-Whiting singular field for motion along arbitrary, planar accelerated trajectories in Schwarzschild spacetime. We transcribe these results into mode-sum regularization parameters, computing previously…

广义相对论与量子宇宙学 · 物理学 2022-09-28 Anna Heffernan , Adrian C. Ottewill , Niels Warburton , Barry Wardell , Peter Diener

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

A particle in the vicinity of a Schwarzschild black hole is known to trace a geodesic of the Schwarzschild background, to a first approximation. If the interaction of the particle with its own field (scalar, electromagnetic or…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Eirini Messaritaki

Merging supermassive black hole binaries produce low-frequency gravitational waves, which pulsar timing experiments are searching for. Much of the current theory is developed within the plane-wave formalism, and here we develop the more…

高能天体物理现象 · 物理学 2021-06-29 Casey McGrath , Jolien Creighton

We calculate the singular field of an accelerated point particle (scalar charge, electric charge or small gravitating mass) moving on an accelerated (non-geodesic) trajectory in a generic background spacetime. Using a mode-sum…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

Time-harmonic solutions to the wave equation can be computed in the frequency or in the time domain. In the frequency domain, one solves a discretized Helmholtz equation, while in the time domain, the periodic solutions to a discretized…

数值分析 · 数学 2021-10-26 Christiaan C. Stolk