Point-source idealization in classical field theories. I. Electromagnetic radiation damping of a system of two perturbed Reissner-Nordström singularities in the slow-motion limit

Details Point-source idealization in classical field theories. I. Electromagnetic radiation damping of a system of two perturbed Reissner-Nordström singularities in the slow-motion limit Point-source idealization in classical field theories. I. Electromagnetic radiation damping of a system of two perturbed Reissner-Nordström singularities in the slow-motion limit

May 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrvd..25.2487k&link_type=abstract

Physical Review D (Particles and Fields), Volume 25, Issue 10, 15 May 1982, pp.2487-2493

Physics

4

Scientific paper

This paper calculates the leading resistive accelerations acting on a system of two slightly deformed Reissner-Nordström singularities due to the emission of electromagnetic radiation, using matched asymptotic expansions. The unperturbed Reissner-Nordström solutions are assumed to have large charge-to-mass ratios qm and to be separated by a distance large compared to both m and q2m. The problem is of interest primarily because of Rosenblum's use of point singularities in his calculation of the mechanical work done in small-angle gravitational scattering. Classical derivations of the electromagnetic equations of motion for a charged source were faced with the choice between indeterminate equations and divergences in the stress-energy. The use of asymptotic expansions about Reissner-Nordström solutions makes renormalization arguments unnecessary. The following paper compares the mechanical energy loss obtained from the present matching calculation to that predicted by the Lorentz-Dirac equation, which was derived using a point-particle assumption.

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