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Related papers: Scalar self-force for highly eccentric equatorial …

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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 calculate the scalar self-force experienced by a scalar point-charge orbiting a Kerr black hole along $r\theta$-resonant geodesics. We use the self-force to calculate the averaged rate of change of the charge's orbital energy…

General Relativity and Quantum Cosmology · Physics 2022-09-27 Zachary Nasipak

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 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

We study extreme mass ratio inspirals occurring in modified gravity, for which the system is modeled by a small compact object with scalar charge spiraling into a supermassive Kerr black hole. Besides the tensorial gravitational waves…

General Relativity and Quantum Cosmology · Physics 2022-07-28 Hong Guo , Yunqi Liu , Chao Zhang , Yungui Gong , Wei-Liang Qian , Rui-Hong Yue

We formulate a new analytical method for regularizing the self-force acting on a particle of small mass $\mu$ orbiting a black hole of mass $M$, where $\mu\ll M$. At first order in $\mu$, the geometry is perturbed and the motion of the…

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

We discuss the dynamics of a (neutral) test particle in Topological Star spacetime undergoing scattering processes by a superposed test radiation field, a situation that in a 4D black hole spacetime is known as relativistic…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Massimo Bianchi , Donato Bini , Giorgio Di Russo

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

The equations of motion of a point particle interacting with its own field are defined in terms of a certain regularized self-field. Two of the leading methods for computing this regularized field are the mode-sum and effective-source…

General Relativity and Quantum Cosmology · Physics 2014-10-28 Niels Warburton , Barry Wardell

We examine the motion of a charged particle in a weak gravitational field. In addition to the Newtonian gravity exerted by a large central body, the particle is subjected to an electromagnetic self-force that contains both a conservative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adam Pound , Eric Poisson

We present a new method designed to avoid numerical challenges that have impeded calculation of the Lorenz gauge self-force acting on a compact object inspiraling into a Kerr black hole. This type of calculation is valuable in creating…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Thomas Osburn , Nami Nishimura

The motion of a small compact object (SCO) in a background spacetime is investigated further in a class of model nonlinear scalar field theories having a perturbative structure analogous to the General Relativistic description of extreme…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Chad R. Galley

We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

We compute the electromagnetic self-force acting on a charged particle held in place at a fixed position r outside a five-dimensional black hole described by the Schwarzschild-Tangherlini metric. Using a spherical-harmonic decomposition of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Matthew J. S. Beach , Eric Poisson , Bernhard G. Nickel

Motivated by the discovery of floating orbits and the potential to provide extra constraints on alternative theories, in this paper we derive the self-force equation for a small compact object moving on an accelerated world line in a…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Peter Zimmerman

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…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko , Yuk Tung Liu

We calculate the self-force experienced by a point scalar charge, a point electric charge, and a point mass moving in a weakly curved spacetime characterized by a time-independent Newtonian potential. The self-forces are calculated by first…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michael J. Pfenning , Eric Poisson

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

We present the first analytic computation of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in {\it eccentric} orbit around a {\it spinning} black hole. Our results give the redshift contributions that mix…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Donato Bini , Thibault Damour , Andrea Geralico

This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Leor Barack