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In this paper we present an approach to compute analytical post-Minkowskian corrections to unbound two-body scattering in the self-force formalism. Our method relies on a further low-velocity (post-Newtonian) expansion of the motion. We…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Donato Bini , Andrea Geralico , Chris Kavanagh , Adam Pound , Davide Usseglio

State-of-the-art computations of the gravitational self-force (GSF) on massive particles in black hole spacetimes involve numerical evolution of the metric perturbation equations in the time-domain, which is computationally very costly. We…

General Relativity and Quantum Cosmology · Physics 2013-11-27 Sarp Akcay , Niels Warburton , Leor Barack

In a previous paper, based on the black hole perturbation approach, we formulated a new analytical method for regularizing the self-force acting on a particle of small mass $\mu$ orbiting a Schwarzschild black hole of mass $M$, where…

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

Considering the self force and radiation due to a small body in orbit (especially aperiodic) around a black hole, this paper defines a decomposition of the source into a sum over the shape preserving periodic motions of extended objects…

General Relativity and Quantum Cosmology · Physics 2013-08-02 Barak Kol

We study the self-force acting on a static charged point-like particle near a Schwarzschild black hole. We obtain the point-like particle as a limit of a spacetime describing a big neutral black hole with a small charged massive object…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Pavel Krtouš , Andrei Zelnikov

Based on the scalar-tensor-vector modified gravitational theory, a modified gravity Schwarzschild black hole solution has been given in the existing literature. Such a black hole spacetime is obtained through the inclusion of a modified…

General Relativity and Quantum Cosmology · Physics 2022-06-10 Daqi Yang , Wenfu Cao , Naying Zhou , Hongxing Zhang , Wenfang Liu , Xin Wu

We extend our previous calculation of the quasi-local contribution to the self-force on a scalar particle to general (not necessarily geodesic) motion in a general spacetime. In addition to the general case and the case of a particle at…

General Relativity and Quantum Cosmology · Physics 2012-01-17 Adrian C. Ottewill , Barry Wardell

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tobias S. Keidl , John L. Friedman , Alan G. Wiseman

We calculate the unregularized monopole and dipole contributions to the self-force acting on a particle of small mass in a circular orbit around a Schwarzschild black hole. From a self-force point of view, these non-radiating modes are as…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steve Detweiler , Eric Poisson

The self-force describes the effect of a particle's own gravitational field on its motion. While the motion is geodesic in the test-mass limit, it is accelerated to first order in the particle's mass. In this contribution I review the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Eric Poisson

The dynamics of the leading self-force (0SF) order, corresponding to the geodesic motion of a light body in the exact background of a heavy body, are explicitly derived for the first time using a flat space scattering amplitude-based…

High Energy Physics - Theory · Physics 2024-07-15 Stavros Mougiakakos , Pierre Vanhove

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

The numerical calculation of gravitational self-force in extreme mass ratio inspiral systems is fundamentally challenging due to the singular nature of point-particle sources. To overcome these difficulties, the effective source method…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Chao Zhang , Rong-gen Cai , Guoyang Fu , Yungui Gong , Xuchen Lu , Wenting Zhou

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. It is known that the metric perturbation induced by a particle can be divided into two parts, the…

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

We conduct a comprehensive investigation of a deformed AdS-Schwarzschild black hole with a global monopole surrounded by a quintessence field. Our analysis focuses on the geodesic motion of both null and timelike particles, enabling precise…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı , Dhruba Jyoti Gogoi

Second-order self-force calculations will be critical for modelling extreme-mass-ratio inspirals, and they are now known to have high accuracy even for binaries with mass ratios $\sim 1:10$. Many of the challenges facing these calculations…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Rodrigo Panosso Macedo , Patrick Bourg , Adam Pound , Samuel D. Upton

We study the problem of self-energy of charges in higher dimensional static spacetimes. Application of regularization methods of quantum field theory to calculation of the classical self-energy of charges leads to model-independent results.…

High Energy Physics - Theory · Physics 2015-06-04 Valeri P. Frolov , Andrei Zelnikov

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…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Ehud Eilon , Amos Ori

We calculate the gravitational perturbations produced by a small mass in eccentric orbit about a much more massive Schwarzschild black hole and use the numerically computed perturbations to solve for the metric. The calculations are…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Seth Hopper , Charles R. Evans

We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Donato Bini , Andrea Geralico
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