Positive-definite metric and the problem of the charged particle in the Einstein-Maxwell theory
Thesis/Dissertation
·
OSTI ID:6042161
The Einstein-Maxwell theory, with sources, but without current terms in the energy-momentum tensor, is shown to admit a particle-like solution. The solution has a timelike Killing vector as one of its symmetries; this Killing vector is not hypersurface orthogonal, so that the metric contains off-diagonal terms which cannot be removed by coordinate transformations. A second Killing vector, akin to a rotation about the z-axis, is also admitted, so that the putative particle appears to have just sufficient structure to represent a classical charged particle with spin. It is shown that the Einstein-Maxwell theory, with the type of sources and symmetries discussed, has a natural interpretation in terms of a Riemannian V/sub 4/ with a positive-definite metric. The geometry of this V/sub 4/ is simpler both conceptually and formally than the geometry of the Einstein-Maxwell theory, with or without sources, in an indefinite V/sub 4/.
- Research Organization:
- North Carolina State Univ., Raleigh (USA)
- OSTI ID:
- 6042161
- Country of Publication:
- United States
- Language:
- English
Similar Records
Optical metrics and projective equivalence
Interaction of forces in an Einstein-Maxwell field admitting Wooley's Killing tensor
Einstein--Maxwell equations and the conformal Ricci collineations
Journal Article
·
Fri Apr 15 00:00:00 EDT 2011
· Physical Review. D, Particles Fields
·
OSTI ID:21541513
Interaction of forces in an Einstein-Maxwell field admitting Wooley's Killing tensor
Journal Article
·
Sun Feb 14 23:00:00 EST 1982
· Phys. Rev. D; (United States)
·
OSTI ID:5521157
Einstein--Maxwell equations and the conformal Ricci collineations
Journal Article
·
Mon Jun 01 00:00:00 EDT 1987
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:6626754