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

M. Carmeli; M. Kaye

doi:10.1016/0003-4916(78)90254-3

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

M. Carmeli, M. Kaye

Research output: Contribution to journal › Article › peer-review

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Abstract

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 SL(2, C) gauge theory of gravitation.

Original language	English
Pages (from-to)	177-183
Number of pages	7
Journal	Annals of Physics
Volume	113
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(78)90254-3
State	Published - 1 Jan 1978
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0003-4916(78)90254-3

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

abstract = "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 SL(2, C) gauge theory of gravitation.",

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N2 - 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 SL(2, C) gauge theory of gravitation.

AB - 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 SL(2, C) gauge theory of gravitation.

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U2 - 10.1016/0003-4916(78)90254-3

DO - 10.1016/0003-4916(78)90254-3

M3 - Article

AN - SCOPUS:41149143159

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JO - Annals of Physics

JF - Annals of Physics

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

Abstract

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