(Received July 14, 1955)
We study boundary conditions in the non-symmetric unified field theory from the covariant point of view. The covariant expression of spatial infinity is obtained by generalizing the one ordinarily used in physics. We propose a new boundary condition, which is covariant for arbitrary coordinate transformations and reduces in a special case to the ordinary condition in general relativity. We compare the newly-proposed condition with the non-covariant one which has been employed by many authors. For the static solutions of the field equations in the electric or magnetic case, the new condition is shown to be equivalent to those which we proposed previously by using the scalar potentials.
URL :
http://ptp.ipap.jp/link?PTP/15/1/
DOI : 10.1143/PTP.15.1