Lanczos Potentials via the {HH} Formalism

Details Lanczos Potentials via the {HH} Formalism Lanczos Potentials via the {HH} Formalism

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..489d&link_type=abstract

TOPICS IN MATHEMATICAL PHYSICS, GENERAL RELATIVITY AND COSMOLOGY IN HONOR OF JERZY PLEBAŃSKI. Proceedings of 2002 International

Mathematics

Mathematical Physics

Scientific paper

Making use of the complex extension of the space-time we obtain the local expression of the most general Lanczos potential of a space-time that admits a shear-free congruence of null geodesies, assuming that the Lanczos potential and the Ricci tensor are suitably aligned to the congruence. We also show that such a potential is the symmetric part of an object that defines a flat metric connection with torsion.

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