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The Coordinate Conditions and the Equations of Motion
- Source :
- Canadian Journal of Mathematics. 5:17-25
- Publication Year :
- 1953
- Publisher :
- Canadian Mathematical Society, 1953.
-
Abstract
- The problem of the field equations and the equations of motion in general relativity theory is now sufficiently clarified. The equations of motion can be deduced from pure field equations by treating matter as singularities, [2; 3], or from field equations with the energy momentum tensor [4]. Recently two papers appeared in which the problem of the coordinate system was considered [5; 8]. The two papers are in general agreement as far as the role of the coordinate system is concerned. Yet there are some differences which require clarification.
- Subjects :
- Curvilinear coordinates
Constant of motion
General Mathematics
010102 general mathematics
Equations of motion
Ellipsoidal coordinates
Coordinate conditions
01 natural sciences
Classical mechanics
0103 physical sciences
Stress–energy tensor
010307 mathematical physics
0101 mathematics
Mechanics of planar particle motion
Mathematics
Elliptic coordinate system
Subjects
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 5
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........e82c82f21112107fbaf38516fa6bcb62