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The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation involves an expansion in powers of…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

The main aim of this paper is twofold. (1) Exact solutions of a scalar field in the Schwarzschild spacetime are presented. The exact wave functions of scattering states and bound-states are presented. Besides the exact solution, we also…

General Relativity and Quantum Cosmology · Physics 2022-01-20 Wen-Du Li , Yu-Zhu Chen , Wu-Sheng Dai

We present numerical results for the gravitational self-force and redshift invariant calculated in the Regge-Wheeler and Easy gauges for circular orbits in a Schwarzschild background, utilizing the regularization framework introduced by…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Jonathan E. Thompson , Barry Wardell , Bernard F. Whiting

We consider the self-potential and the self-force for an electrically charged particle at rest in the massive wormhole space-time. We develop general approach for the renormalization of electromagnetic field of such particle in the static…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Nail R. Khusnutdinov , Arkadii A. Popov , Lilia N. Lipatova

We study the relativistic orbit of binary black holes in systems with small mass ratio. The trajectory of the smaller object (another black hole or a neutron star), represented as a particle, is determined by the geodesic equation on the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. O. Lousto

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…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Donato Bini , Andrea Geralico

The effects of radiation reaction force on laser driven auto-resonant particle acceleration scheme are studied using Landau-Lifshitz equation of motion. These studies are carried out for both linear as well as circularly polarized laser…

Plasma Physics · Physics 2016-01-20 Vikram Sagar , Sudip Sengupta , P. K. Kaw

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

A generalization of the force approach to radiation reaction is given, taken into consideration an arbitrary motion of the charged particle . The expression obtained brings about the expression already given for the linear an the circular…

Classical Physics · Physics 2016-02-11 Gustavo V. Lopez

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

We establish the jump conditions for the wavefunction and its derivatives through the formal solutions of the wave equation. These conditions respond to the requirement of continuity of the perturbations at the position of the particle and…

General Relativity and Quantum Cosmology · Physics 2010-05-11 Sofiane Aoudia , Alessandro D. A. M. Spallicci

Basing on the fundamental symmetry that the space-time inversion is equivalent to particle-antiparticle transformation, a relativistic modification on the stationary Schrodinger equation for many-particle system is made. The eigenvalue in…

High Energy Physics - Theory · Physics 2007-05-23 Guang-Jiong Ni

In [1, arXiv:1005.2617] effective field theory methods have been employed to compute the equations of motion of a spherically symmetric charged shell of radius R, taking into account the radiation reaction force exerted by the shell's own…

General Relativity and Quantum Cosmology · Physics 2015-06-04 P. Forgács , T. Herpay , P. Kovács

We study radiation from charged particles in circular motion around a Schwarzschild black hole immersed in an asymptotically uniform magnetic field. In curved space, the radiation reaction force is described by the DeWitt-Brehme equation,…

General Relativity and Quantum Cosmology · Physics 2024-06-18 João S. Santos , Vitor Cardoso , José Natário

The metric perturbation induced by a particle in the Schwarzschild background is usually calculated in the Regge-Wheeler (RW) gauge, whereas the gravitational self-force is known to be given by the tail part of the metric perturbation in…

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

Can classical systems be described analytically at all orders in their interaction strength? For periodic and approximately periodic systems, the answer is yes, as we show in this work. Our analytical approach, which we call the…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Majed Khalaf , Ofri Telem

We investigate the radiation emitted by a uniformly moving charged scalar particle in the space-time of a point-like global monopole. We calculate the total energy radiated by the particle and the corresponding spectrum, for small solid…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Valdir B. Bezerra , Nail R. Khusnutdinov

Using the canonical formalism, Compagno and Persico [J. Phys. A: Math. Gen. 35 (2002) 3629--45] have calculated the 'radiation-reaction' force on a uniform spherical charge moving rigidly, slowly and slightly from its position at the time…

Classical Physics · Physics 2009-11-07 V. Hnizdo

We present a new mode-sum regularization prescription for computing the vacuum polarization of a scalar field in static spherically-symmetric black hole spacetimes in odd dimensions. This is the first general and systematic approach to…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Peter Taylor , Cormac Breen

We study the Dirac equation in a spacetime that represents the nonlinear superposition of the Schwarzchild solution to an external, stationary electromagnetic Berttoti-Robinson solution. We separate the Dirac equation into radial and…

General Relativity and Quantum Cosmology · Physics 2017-08-24 A. Al-Badawi , M. Q. Owaidat