ar X iv : g r - qc / 9 90 20 80 v 1 2 5 Fe b 19 99 LOCAL EXISTENCE OF SPINOR POTENTIALS
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چکیده
We present a new, simple proof of existence for the Lanczos spinor potential in 3+1 dimensions that introduces a potential T ABCD = T (ABC)D of the Lanczos potential together with several generalizations to other index configurations and metric signatures. The potential T ABCD can also be used to express, in a concise way, the gauge freedom left in the Lanczos potential after the differential gauge has been specified. We consider Einstein spacetimes and prove that in those spacetimes any symmetric (3,1)-spinor possesses a symmetric potential H ABA ′ B ′. Potentials of this type have earlier occurred in some special cases investigated e.g., by Torres del Castillo, Bergqvist and ourselves.
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تاریخ انتشار 1999