The problem of two interacting charged particles in three dimensions, including effects of radiation reaction, is formulated abstractly and an existence/uniqueness theorem is proved for a suitable "initial segment problem." The delay-differential equations are treated in the cases of pure retarded a
On the Gravitational Two-Body Problem in Special Relativity
β Scribed by Dr. G. N. Afanasiev; R. A. Asanov
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 566 KB
- Volume
- 493
- Category
- Article
- ISSN
- 0003-3804
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π SIMILAR VOLUMES
The initial segment problem for two interacting charged particles is studied and errors are corrected in the author's previous paper on this problem. An existenceiuniqueness theorem holds for the forward extension under retarded interaction; a uniqueness theorem holds for the backward extension and
The effect of the radiation-pressure in the problem of the two bodies is analysed. It is found that such an effect is the same as that of reducing the stellar mass, m, by the factor p (0 5 p 5 1 ) . The case p < 0 leads to stellar instability and, consequently, it is not considered here. The problem
## Abstract We continue our study, begun in [7], into the stationary axisymmetric solutions of the Einstein vacuum equations containing two (or more) black holes. This problem reduces to an elliptic system of nonlinear partial differential equations with prescribed blowβup as boundary conditions. W