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Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

广义相对论与量子宇宙学 · 物理学 2022-09-09 Oliver Long

We compare numerical self-force results and analytical fourth-order post-Minkowskian (PM) calculations for hyperbolic-type scattering of a point-like particle carrying a scalar charge $Q$ off a Schwarzschild black hole, showing a remarkably…

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…

广义相对论与量子宇宙学 · 物理学 2024-10-25 Donato Bini , Andrea Geralico , Chris Kavanagh , Adam Pound , Davide Usseglio

Geodesic scattering of a test particle off a Schwarzschild black hole can be parameterized by the speed-at-infinity $v$ and the impact parameter $b$, with a "separatrix", $b=b_c(v)$, marking the threshold between scattering and plunge. Near…

广义相对论与量子宇宙学 · 物理学 2025-10-09 Oliver Long , Christopher Whittall , Leor Barack

We develop a frequency-domain method for calculating the self-force acting on a scalar charge on a fixed scattering geodesic in Schwarzschild spacetime. Existing frequency-domain methods, which are tailored for bound orbits, are inadequate…

广义相对论与量子宇宙学 · 物理学 2023-09-14 Christopher Whittall , Leor Barack

We calculate the self-force acting on a particle with scalar charge moving on a generic geodesic around a Schwarzschild black hole. This calculation requires an accurate computation of the retarded scalar field produced by the moving…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Roland Haas

Scalar field self-force effects on a scalar charge orbiting a Reissner-Nordstr\"om black hole are investigated. The scalar wave equation is solved analytically in a post-Newtonian framework, and the solution is used to compute the…

广义相对论与量子宇宙学 · 物理学 2016-12-28 Donato Bini , Gabriel Carvalho , Andrea Geralico

In this work, we analytically investigate the effects of the scalar self-force exerted by a massless scalar field on a particle in a slightly eccentric orbit around a Schwarzschild black hole. By solving the Klein-Gordon equation in the…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Salvatore Capozziello , Nicola Menadeo , Davide Usseglio

The asymptotic nature of unbound binary-black-hole encounters provides a clean method for comparing different approaches for modeling the two-body problem in general relativity. In this work, we use numerical relativity simulations of…

广义相对论与量子宇宙学 · 物理学 2025-12-11 Oliver Long , Harald P. Pfeiffer , Lawrence E. Kidder , Mark A. Scheel

Accurately modeling astrophysical extreme-mass-ratio-insprials requires calculating the gravitational self-force for orbits in Kerr spacetime. The necessary calculation techniques are typically very complex and, consequently, toy…

广义相对论与量子宇宙学 · 物理学 2015-02-04 Niels Warburton

Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

广义相对论与量子宇宙学 · 物理学 2022-02-22 Oliver Long , Leor Barack

For a Schwarzchild black hole of mass $M$, we consider a test particle falling from rest at infinity and becoming trapped, at late time, on the unstable circular orbit of radius $r=4GM/c^2$. When the particle is endowed with a small mass,…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Leor Barack , Marta Colleoni , Thibault Damour , Soichiro Isoyama , Norichika Sago

The scattering of massive particles by a Schwarzschild black hole also undergoing a drag force is considered. The latter is modeled as a viscous force acting on the orbital plane, with components proportional to the associated particle…

广义相对论与量子宇宙学 · 物理学 2018-08-20 Donato Bini , Andrea Geralico

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

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

We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were…

广义相对论与量子宇宙学 · 物理学 2013-11-06 Ian Vega , Barry Wardell , Peter Diener , Samuel Cupp , Roland Haas

We study the self force acting on a scalar charge in uniform circular motion around a Schwarzschild black hole. The analysis is based on a direct calculation of the self force via mode decomposition, and on a regularization procedure based…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Lior M. Burko

For a particle of mass mu and scalar charge q, we compute the effects of the scalar field self-force upon circular orbits, upon slightly eccentric orbits and upon the innermost stable circular orbit of a Schwarzschild black hole of mass M.…

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

We study the self force acting on a particle endowed with scalar charge, which is held static (with respect to an undragged, static observer at infinity) outside a stationary, axially-symmetric black hole. We find that the acceleration due…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Lior M. Burko , Yuk Tung Liu

We present a calculation of the scalar field self-force (SSF) acting on a scalar-charge particle in a strong-field orbit around a Kerr black hole. Our calculation specializes to circular and equatorial geodesic orbits. The analysis is an…

广义相对论与量子宇宙学 · 物理学 2015-06-30 Niels Warburton , Leor Barack
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