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Equation of motion in classical electrodynamics. II
Phys. Rev. D 21, 384 – Published 15 January, 1980
DOI: https://doi.org/10.1103/PhysRevD.21.384
Abstract
With the aid of the principle of equivalence, we extend our development of an equation of motion for a radiating charged particle to include movement in both a gravitational and an electromagnetic field. The rate of electromagnetic radiation is given by the covariant generalization of the Larmor formula for flat space-time. The proposed equation of motion exhibits none of the difficulties that are associated with the covariant extension of the Lorentz-Dirac equation. We apply our results to the simple examples of a charged particle falling in a gravitational field and a charged particle held fixed in a quasiuniform gravitational field.
References (14)
- J. C. Herrera, Phys. Rev. D 15, 453 (1977)
- P. A. M. Dirac, Proc. R. Soc. London A167, 148 (1938)
- J. Kalckar and O. Ulfbeck, Kgl. Danske Videnskab. Selskab, Mat-Fys. Medd. 39, No. 9 (1976)
- S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972)
- B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960)
- J. M. Hobbs, Ann. Phys. (N.Y.) 47, 141 (1968)
- F. Rohrlich, Nuovo Cimento 21, 811 (1961)
- A. Schild, J. Math. Anal. Appl. 1, 127 (1960)
- [4], p. 106
- D. Villarroel, Phys. Rev. D 11, 2733 (1975)
- F. Rohrlich, Ann. Phys. (N.Y.) 22, 169 (1963)
- C. M. DeWitt and B. S. DeWitt, Physics 1, 3 (1964)
- E. T. Whittaker, Proc. R. Soc. London A116, 720 (1927)
- [11], p. 178 [4], p. 139