Gravitative Selbstkräfte und Strahlungsverluste klassischer Spinteilchen (erste Näherung)

Abstract

The solutions ofEinstein's linearised field equations for a pol-dipol-like massdistribution are regularised at the position of the arbitrarily moving source by means ofRiesz' method of analytic continuation. Selfforce and selftorque resulting from the spin particle's gravitational proper field are computed Lorentz-covariantly. The selfforce devides into the radiation reaction caused by lightlike emission of field momentum and the exchange-force due to fluctuation of the convective field momentum. Gravitational momentum emission is gauge invariant while the convective field momentum combines with the particle's mechanical momentum to a gauge invariant quantity. Corresponding considerations apply to the selftorque. (Gauge invariance refers to gauge transformations induced by arbitrary infinitesimal deviations from Cartesian coordinates into the Lorentz-covariant theory of gravitation.)