✦ LIBER ✦

Palatini-type variational principle for the SL(2, C) gauge theory of gravitation

✍ Scribed by M Carmeli; M Kaye

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 382 KB
Volume: 113
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(78)90254-3

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✦ Synopsis

An explicitly SL(2, C) gauge-invariant Lagrangian density, equivalent to Hilbert's Lagrangian density, is written, and a Palatini-type variational principle is applied to it. The resulting field equations are Einstein's equations written in dyad notation and a set of equations defining the spin coefficients in terms of the components of the null tetrad vectors and their directional derivatives. The techniques employed throughout this article are those which were developed in the X(2, C) gauge theory of gravitation.