Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-01-12
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, PDF file
Scientific paper
It is shown that geometric optical description of electromagnetic wave with account of its polarization in curved space-time can be obtained straightforwardly from the classical variational principle for electromagnetic field. For this end the entire functional space of electromagnetic fields must be reduced to its subspace of locally plane monochromatic waves. We have formulated the constraints under which the entire functional space of electromagnetic fields reduces to its subspace of locally plane monochromatic waves. These constraints introduce variables of another kind which specify a field of local frames associated to the wave and contain some congruence of null-curves. The Lagrangian for constrained electromagnetic field contains variables of two kinds, namely, a congruence of null-curves and the field itself. This yields two kinds of Euler-Lagrange equations. Equations of first kind are trivial due to the constraints imposed. Variation of the curves yields the Papapetrou equations for a classical massless particle with helicity 1.
Muminov A. T.
Turakulov Ya. Z.
No associations
LandOfFree
Electromagnetic field with constraints and Papapetrou equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Electromagnetic field with constraints and Papapetrou equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electromagnetic field with constraints and Papapetrou equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-495036