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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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roland Haas

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…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Salvatore Capozziello , Nicola Menadeo , Davide Usseglio

We present a numerical code for calculating the local gravitational self-force acting on a pointlike particle in a generic (bound) geodesic orbit around a Schwarzschild black hole. The calculation is carried out in the Lorenz gauge: For a…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Leor Barack , Norichika Sago

I calculate the self-force acting on a particle with electric charge q moving on a generic geodesic around a Schwarzschild black hole. Using methods similar to those developed for the scalar field case discussed in a previous paper, I…

General Relativity and Quantum Cosmology · Physics 2011-12-19 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…

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

In an accompanying paper, we have formulated two types of regulariz_ation methods to calculate the scalar self-force on a particle of charge $q$ moving around a black hole of mass $M$, one of which is called the ``power expansion…

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

Motivated by applications to the study of self-force effects in scalar-tensor theories of gravity, we calculate the self-force exerted on a scalar charge in a circular orbit about a Reissner-Nordstr\"{o}m black hole. We obtain the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Jezreel Castillo , Ian Vega , Barry Wardell

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…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler , Eirini Messaritaki , Bernard F. Whiting

The motion of a charged particle is influenced by the self-force arising from the particle's interaction with its own field. In a curved spacetime, this self-force depends on the entire past history of the particle and is difficult to…

General Relativity and Quantum Cosmology · Physics 2012-09-28 Peter Diener , Ian Vega , Barry Wardell , Steven Detweiler

We present a numerical code for calculating the self force on a scalar charge moving in a bound (eccentric) geodesic in the equatorial plane of a Kerr black hole. We work in the frequency domain and make use of the method of extended…

General Relativity and Quantum Cosmology · Physics 2015-02-27 Niels Warburton , Leor Barack

Prescriptions for numerical self-force calculations have traditionally been designed for frequency-domain or (1+1) time-domain codes which employ a mode decomposition to facilitate in carrying out a delicate regularization scheme. This has…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Ian Vega , Peter Diener , Wolfgang Tichy , Steven Detweiler

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…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Niels Warburton

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…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Donato Bini , Gabriel Carvalho , 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…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Eirini Messaritaki

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,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Leor Barack , Marta Colleoni , Thibault Damour , Soichiro Isoyama , Norichika Sago

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.…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luz Maria Diaz-Rivera , Eirini Messaritaki , Bernard F. Whiting , Steven Detweiler

We calculate the self-force acting on a charged particle on a circular geodesic orbit in the equatorial plane of a rotating black hole. We show by direct calculation that the dissipative self-force balances with the sum of the flux radiated…

General Relativity and Quantum Cosmology · Physics 2022-07-19 T. Torres , S. R. Dolan

[abridged] The inspiral of a stellar compact object into a massive black hole is one of the main sources of gravitational waves for the future space-based Laser Interferometer Space Antenna. We expect to be able to detect and analyze many…

General Relativity and Quantum Cosmology · Physics 2014-11-21 P. Canizares , C. F. Sopuerta , J. L. Jaramillo

The finite part of the self-force on a static scalar test-charge outside a Schwarzschild black hole is zero. By direct construction of Hadamard's elementary solution, we obtain a closed-form expression for the minimally coupled scalar field…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alan G. Wiseman

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…

General Relativity and Quantum Cosmology · Physics 2015-06-30 Niels Warburton , Leor Barack
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