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The gravitational field of two-body system, a high energetic particle and a massive particle at rest, is studied in the linearized Einstein gravity. The ultrarelativistic particle yields a plane-fronted gravitational shockwave which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 D. V. Fursaev , V. A. Tainov

We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the spinless case. In the special case of spin-polarized motion…

High Energy Physics - Theory · Physics 2012-07-05 Arnab Kar , S. G. Rajeev

Recently, we proposed a method for calculating the ``radiation reaction'' self-force exerted on a charged particle moving in a strong field orbit in a black hole spacetime. In this approach, one first calculates the contribution to the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Leor Barack

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

The possibility that like-charges can attract each other under the mediation of mobile counterions is by now well documented experimentally, numerically, and analytically. Yet, obtaining exact results is in general impossible, or restricted…

Statistical Mechanics · Physics 2016-03-29 Gabriel Tellez , Emmanuel Trizac

We show that a massive black hole binary might resonantly trap a small third body (e.g. a neutron star) down to a stage when the binary becomes relativistic due to its orbital decay by gravitational radiation. The final fate of the third…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Naoki Seto , Takayuki Muto

We describe the quantum mechanical scattering of slowly moving maximally charged black holes. Our technique is to develop a canonical quantization procedure on the parameter space of possible static classical solutions. With this, we…

High Energy Physics - Theory · Physics 2011-04-20 Jennie Traschen , Robert Ferrel

The problem of the self-interaction of a quasi-rigid classical particle with an arbitrary spherically symmetric charge distribution is completely solved up to the first order in the acceleration. No ad hoc assumptions are made. It is shown…

Classical Physics · Physics 2007-05-23 Rodrigo Medina

We study the classical dynamics of a particle in nonrelativistic Snyder-de Sitter space. We show that for spherically symmetric systems, parametrizing the solutions in terms of an auxiliary time variable, which is a function only of the…

High Energy Physics - Theory · Physics 2015-06-16 B. Ivetic , S. Meljanac , S. Mignemi

Canonical quantization of spherically symmetric space-times is carried out, using real-valued densitized triads and extrinsic curvature components, with specific factor ordering choices ensuring in an anomaly free quantum constraint…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Suddhasattwa Brahma

The Lorentz symmetry group entails physical equations whose solutions are retarded. This leads to the concept of a relativistic engine resulting from retardation of electromagnetic fields. We have shown that Newton'n third law cannot…

General Physics · Physics 2023-03-06 Asher Yahalom , Moshe Sagi

The role of relativistic corrections in Coulomb scattering of heavy ions at intermediate energy collisions ($E_{lab}\gtrsim 50$ MeV/n) is investigated by numerically solving a full set of coupled equations. We compare two methods, (a) one…

Nuclear Theory · Physics 2017-09-20 Ravinder Kumar , C. A. Bertulani , G. Robinson

We review a recent theoretical progress in the so-called self-force problem of a general relativistic two-body system. Although a two-body system in Newtonian gravity is a very simple problem, some fundamental issues are involved in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yasushi Mino

For simple electromagnetic models of a rod and a clock, a change of the shape of the rod and of the rate of the clock when they are set in uniform motion is calculated exactly, employing the correct equation of motion of a charged particle…

Classical Physics · Physics 2015-07-01 D. V. Redzic

The possibility of detecting the gravitomagnetic clock effect using artificial Earth satellites provides the incentive to develop a more intuitive approach to its derivation. We first consider two test electric charges moving on the same…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Lorenzo Iorio , Herbert I. M. Lichtenegger , Bahram Mashhoon

We study the quantization of spherically symmetric vacuum spacetimes within loop quantum gravity. In particular, we give additional details about our previous work in which we showed that one could complete the quantization the model and…

General Relativity and Quantum Cosmology · Physics 2016-12-20 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

Firstly we derive peculiar spherical Weyl solutions, using a general spherically symmetric metric due to a massive charged object with definite mass and radius. Afterwards, we present new analytical solutions for relevant cosmological…

General Relativity and Quantum Cosmology · Physics 2012-10-11 Farrin Payandeh , Mohsen Fathi

The usual radiation self-force of a point charge is obtained in a mathematically exact way and it is pointed out to that this does not call forth that the spacetime motion of a point charge obeys the Lorentz--Abraham--Dirac equation.

Classical Physics · Physics 2023-03-16 T. Matolcsi

A spherically symmetric charged ideal fluid solution of Einstein field equation is given in the presence of the cosmological constant and two well known example of this type of solution is presented. If the matter is confined in a region,…

General Relativity and Quantum Cosmology · Physics 2007-11-30 N. Ozdemir

We consider a general non-linear sigma model coupled to Einstein gravity and show that in spherical symmetry and for a simple realization of self-similarity, the spacetime can be completely determined. We also examine some more specific…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Eric W. Hirschmann , Anzhong Wang