A nonlinear geometric equation related to electrodynamics
Abstract
We introduce a nonlinear geometric equation (NGE) related to electrodynamics, which governs the time-like extremal surfaces in (2 + n)-dimensional Minkowski space. We study some interesting properties enjoyed by the NGE, and present an explicit exact representation, involving two independent arbitrary functions, of general solution. Finally, we discuss the mechanism of the formation of singularities of the NGE.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- June 2004
- DOI:
- 10.1209/epl/i2003-10258-0
- Bibcode:
- 2004EL.....66..617K