Necessary and sufficient conditions for trivial solutions in supergravity.

Details Necessary and sufficient conditions for trivial solutions in supergravity. Necessary and sufficient conditions for trivial solutions in supergravity.

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..817a&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 9, pp.817-828

Computer Science

25

Supergravity

Scientific paper

We determine the conditions necessary for a solution of the supergravity field equations with infinitesimal spin-3/2 field to be a pure gauge transformation of an Einstein vacuum field. The analysis depends on the Petrov classification of the curvature tensor and uses two-component spinor calculus. For general type I, the type II, and typeD, the necessary conditions found are also shown to be sufficient, and the explicit form of the gauge transformation can be given.

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