Acta Physica Polonica B
Proceedings Supplement

Vol. 1, No. 1, January 2008, page 179

A New (Very) Unorthodox Approach to Equations of Motion in General Relativity

From the study of the asymptotic behavior of the Einstein or Einstein--Maxwell fields, a rather unusual new structure was found. This structure which is associated with asymptotically shearfree null congruences, appears to have significant physical interest or consequences. More specifically it allows us to define, at future null infinity, the center-of-mass and center-of-charge with detailed equations of motion, for an interior gravitating-electromagnetic system. In addition it allows for a definition of total angular momentum with its evolution equations. Though at the present time the details remain obscure to us, nevertheless we feel that our version of equations of motion are closely related to the point of view of Myron Mathisson.

PACS numbers: 03.30.De, 04.40.Nk