Title of article :
On the existence of maximizing curves for the charged-particle action
Author/Authors :
Minguzzi، E نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
-4168
From page :
4169
To page :
0
Abstract :
The classical Avez-Seifert theorem is generalized to the case of the Lorentz force equation for charged test particles with fixed charge-to-mass ratio. Given two events x0 and x1, with x1 in the chronological future of x0, and a ratio q/m, it is proved that a timelike connecting solution of the Lorentz force equation exists provided there is no null connecting geodesic and the spacetime is globally hyperbolic. As a result, the theorem answers affirmatively to the existence of timelike connecting solutions for the particular case of Minkowski spacetime. Moreover, it is proved that there is at least one C1 connecting curve that maximizes the functional I[(gamma)] = (Integral)(gamma) ds + q/(mc^2)(omega) over the set of C1 future-directed non-spacelike connecting curves.
Journal title :
CLASSICAL AND QUANTUM GRAVITY
Serial Year :
2003
Journal title :
CLASSICAL AND QUANTUM GRAVITY
Record number :
72684
Link To Document :
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