Physics
Scientific paper
Apr 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976rspsa.348..447u&link_type=abstract
Royal Society (London), Proceedings, Series A, vol. 348, no. 1655, Apr. 6, 1976, p. 447-465. Research supported by the Universit
Physics
15
Charged Particles, Electromagnetic Fields, Field Theory (Physics), Integral Equations, Particle Interactions, Space-Time Functions, Backscattering, Curvature, Electromagnetic Interactions, Maxwell Equation
Scientific paper
An alternative to the Dirac procedure is developed for calculating the total electromagnetic force experienced by a charged particle following a given path through a curved space-time. This alternative comprises an integral formulation for a spin s null field at some point in a general curved space-time, and gives the value of the field as a two-surface integral over some cross section of the null cone emanating from that point, plus correction terms necessitated by the radiation backscatter and the presence of sources. It is shown that the expression obtained for the electromagnetic field at the particle reduces exactly to the action-at-a-distance formulation in flat space-time if the cross sections are taken at infinity on both future and past null cones and if these surface integral terms are set to zero. Application of the present procedure to the Newman-Penrose (1968) conserved quantities is discussed, and it is found that those quantities are related to the rate of decay of spin s perturbations in the curved space-time in the case where all of the mass is radiated to infinity
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