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We discuss a practical method to compute the self-force on a particle moving through a curved spacetime. This method involves two expansions to calculate the self-force, one arising from the particle's immediate past and the other from the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Warren G. Anderson , Alan G. Wiseman

We formulate a new method to calculate the gravitational reaction force on a particle of mass $\mu$ orbiting a massive black hole of mass $M$. In this formalism, the tail part of the retarded Green function, which is responsible for the…

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

Electromagnetic and gravitational radiation do not propagate solely on the null cone in a generic curved spacetime. They develop "tails," traveling at all speeds equal to and less than unity. If sizeable, this off-the-null-cone effect could…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Yi-Zen Chu , Glenn D. Starkman

We compute the gravitational self-force (or ``radiation reaction'' force) acting on a particle falling radially into a Schwarzschild black hole. Our calculation is based on the ``mode-sum'' method, in which one first calculates the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Barack , C. O. Lousto

We present a first numerical implementation of a new scheme by Pound et al. that enables the calculation of the gravitational self-force in Kerr spacetime from a reconstructed metric-perturbation in a radiation gauge. The numerical task of…

General Relativity and Quantum Cosmology · Physics 2015-08-10 Cesar Merlin , Abhay G. Shah

We develop an approach to calculate the self-force on a charged particle held in place in a curved spacetime, in which the particle is attached to a massless string and the force is measured by the string's tension. The calculation is based…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Michael LaHaye , Eric Poisson

For a particle in orbit about a static spherically symmetric body, we study the change in self-force that results when the central body type (i.e., the choice of interior metric for the Schwarzschild exterior) is changed. While a straight…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Theodore D. Drivas , Samuel E. Gralla

We present an analytic method based on the Hadamard-WKB expansion to calculate the self-force for a particle with scalar charge that undergoes radial infall in a Schwarzschild spacetime after being held at rest until a time t = 0. Our…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Paul R. Anderson , Ardeshir Eftekharzadeh , B. L. Hu

The gravitational self-force acting on a particle orbiting a massive central body has thus far been computed for vacuum spacetimes involving a black hole. In this work we continue an ongoing effort to study the self-force in nonvacuum…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Soichiro Isoyama , Raissa F. P. Mendes , Eric Poisson

In a recent work, we presented the first application of the Poisson-Wiseman-Anderson method of `matched expansions' to compute the self-force acting on a point particle moving in a curved spacetime. The method employs two expansions for the…

General Relativity and Quantum Cosmology · Physics 2010-03-03 Barry Wardell , Adrian C. Ottewill

We discuss various ways in which the computation of conservative Gravitational Self Force (GSF) effects on a point mass moving in a Schwarzschild background can inform us about the basic building blocks of the Effective One-Body (EOB)…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Thibault Damour

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Maarten van de Meent

A point-like object moving in a background black hole spacetime experiences a gravitational self-force which can be expressed as a local function of the object's instantaneous position and velocity, to linear order in the mass ratio. We…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Justin Vines , Éanna É. Flanagan

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 present a practical method for calculating the gravitational self-force, as well as the electromagnetic and scalar self forces, for a particle in a generic orbit around a Kerr black hole. In particular, we provide the values of all the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

In this series we construct an effective field theory (EFT) in curved spacetime to study gravitational radiation and backreaction effects. We begin in this paper with a derivation of the self-force on a compact object moving in the…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Chad R. Galley , B. L. Hu

We analyze the induced self-energy and self-force on a scalar point-like charged test particle placed at rest in the spacetime of a global monopole admitting a general spherically symmetric inner structure to it. In order to develop this…

High Energy Physics - Theory · Physics 2011-03-03 D. Barbosa , U. de Freitas , E. R. Bezerra de Mello

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eirini Messaritaki

Previous work in the literature has studied gravitational radiation in black-hole collisions at the speed of light. In particular, it had been proved that the perturbative field equations may all be reduced to equations in only two…

Astrophysics · Physics 2018-10-17 Giampiero Esposito

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…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Lior M. Burko