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The self field of a charged particle has a component that diverges at the particle. We use both coordinate and covariant approaches to compute an expansion of this singular field for generic geodesic orbits in Schwarzschild spacetime for…

广义相对论与量子宇宙学 · 物理学 2013-11-06 Anna Heffernan , Adrian Ottewill , Barry Wardell

In a previous paper, we computed expressions for the Detweiler-Whiting singular field of point scalar, electromagnetic and gravitational charges following a geodesic of the Schwarzschild spacetime. We now extend this to the case of…

广义相对论与量子宇宙学 · 物理学 2014-01-29 Anna Heffernan , Adrian Ottewill , Barry Wardell

The growing reality of gravitational wave astronomy is giving age-old problems a new lease of life; one such problem is that of the self-force. A charged or massive particle moving in a curved background space-time produces a field that…

广义相对论与量子宇宙学 · 物理学 2014-03-26 Anna Heffernan

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 compute the linear metric perturbation to a Schwarzschild black hole generated by a spinning compact object, specialising to circular equatorial orbits with an (anti-)aligned spin vector. We derive a two-timescale expansion of the field…

广义相对论与量子宇宙学 · 物理学 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell

We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a…

广义相对论与量子宇宙学 · 物理学 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

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

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

The singular field of a point charge has recently been described in terms of a new Green's function of curved spacetime. This singular field plays an important role in the calculation of the self-force acting upon the particle. We provide a…

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

The interaction of a charged particle with its own field results in the "self-force" on the particle, which includes but is more general than the radiation reaction force. In the vicinity of the particle in curved spacetime, one may follow…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Dong-Hoon Kim

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

The interaction of a charged particle with its own field results in the "self-force" on the particle, which includes but is more general than the radiation reaction force. In the vicinity of the particle in curved spacetime, one may follow…

广义相对论与量子宇宙学 · 物理学 2010-01-26 Dong-Hoon Kim

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

Covariant structure of the self-force of a particle in a general curved background has been made clear in the cases of scalar [Quinn], electromagnetic [DeWittBrehme], and gravitational charges [QuinnWald]. Namely, what we need is the part…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Yasushi Mino , Hiroyuki Nakano , Misao Sasaki

We examine the motion in Schwarzschild spacetime of a point particle endowed with a scalar charge. The particle produces a retarded scalar field which interacts with the particle and influences its motion via the action of a self-force. We…

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

A scalar charged particle moving in a curved background spacetime will emit a field affecting its own motion; the resolving of this resulting motion is often referred to as the self-force problem. This also serves as a toy model for the…

广义相对论与量子宇宙学 · 物理学 2022-09-28 Anna Heffernan

We present a method for solving the first-order field equations in a post-Newtonian (PN) expansion. Our calculations generalize work of Bini and Damour and subsequently Kavanagh et al., to consider eccentric orbits on a Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2016-02-10 Seth Hopper , Chris Kavanagh , Adrian C. Ottewill

Using self-force methods, we consider the hyperbolic-type scattering of a pointlike particle carrying a scalar charge $Q$ off a Schwarzschild black hole. For given initial velocity and impact parameter, back-reaction from the scalar field…

广义相对论与量子宇宙学 · 物理学 2022-11-16 Leor Barack , Oliver Long

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 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
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