Electromagnetic Dipole Radiation Fields, Shear-Free Congruences and Complex Center of Charge World Lines
Class.Quant.Grav. 22 (2005) 4667-4678 We show that for asymptotically vanishing Maxwell fields in Minkowski space with non-vanishing total charge, one can find a unique geometric structure, a null direction field, at null infinity. From this structure a unique complex analytic world-line in complex...
Saved in:
Main Authors | , |
---|---|
Format | Journal Article |
Language | English |
Published |
20.04.2005
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | Class.Quant.Grav. 22 (2005) 4667-4678 We show that for asymptotically vanishing Maxwell fields in Minkowski space
with non-vanishing total charge, one can find a unique geometric structure, a
null direction field, at null infinity. From this structure a unique complex
analytic world-line in complex Minkowski space that can be found and then
identified as the complex center of charge. By ''sitting'' - in an imaginary
sense, on this world-line both the (intrinsic) electric and magnetic dipole
moments vanish. The (intrinsic) magnetic dipole moment is (in some sense)
obtained from the `distance' the complex the world line is from the real space
(times the charge). This point of view unifies the asymptotic treatment of the
dipole moments For electromagnetic fields with vanishing magnetic dipole
moments the world line is real and defines the real (ordinary center of
charge). We illustrate these ideas with the Lienard-Wiechert Maxwell field. In
the conclusion we discuss its generalization to general relativity where the
complex center of charge world-line has its analogue in a complex center of
mass allowing a definition of the spin and orbital angular momentum - the
analogues of the magnetic and electric dipole moments. |
---|---|
DOI: | 10.48550/arxiv.gr-qc/0504093 |