The generalized radiation gauge for a simply connected space-time

Details The generalized radiation gauge for a simply connected space-time The generalized radiation gauge for a simply connected space-time

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gregr..26..203t&link_type=abstract

General Relativity and Gravitation, Volume 26, Issue 2, pp.203-211

Mathematics

Logic

Scientific paper

In the following we shall make some remarks on the existence of the generalized radiation gauge if space-timeM is topologically non trivial (M ≠ R 4). This specialU(1)-gauge generalizes in a sense the wellknown Coulomb gauge and if it is possible to use that gauge the Maxwell equations reduce to a well defined elliptical eigenvalue problem. This can be discussed using, for example, the Hodge theory and the theory of the spectrum of elliptic differential operators.

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