SL(2C) invariance of the gravitational field

Moshe Carmeli

doi:10.1007/BF00759170

SL(2C) invariance of the gravitational field

Moshe Carmeli

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

3 Scopus citations

Abstract

The gravitational field equations of general relativity theory are cast into a Yang-Mills-type theory by use of the group SL(2,C). The spin coefficients take the rôle of the Yang-Mills-like potentials, whereas the Riemann tensor takes the rôle of the fields. Comparison of this formalism with that of Utiyama and Kibble who related invariance under the Lorentz and the Poincaré groups to the existence of the gravitational field, is discussed

Original language	English
Pages (from-to)	317-323
Number of pages	7
Journal	General Relativity and Gravitation
Volume	3
Issue number	4
DOIs	https://doi.org/10.1007/BF00759170
State	Published - 1 Dec 1972
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1007/BF00759170

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title = "SL(2C) invariance of the gravitational field",

abstract = "The gravitational field equations of general relativity theory are cast into a Yang-Mills-type theory by use of the group SL(2,C). The spin coefficients take the r{\^o}le of the Yang-Mills-like potentials, whereas the Riemann tensor takes the r{\^o}le of the fields. Comparison of this formalism with that of Utiyama and Kibble who related invariance under the Lorentz and the Poincar{\'e} groups to the existence of the gravitational field, is discussed",

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AB - The gravitational field equations of general relativity theory are cast into a Yang-Mills-type theory by use of the group SL(2,C). The spin coefficients take the rôle of the Yang-Mills-like potentials, whereas the Riemann tensor takes the rôle of the fields. Comparison of this formalism with that of Utiyama and Kibble who related invariance under the Lorentz and the Poincaré groups to the existence of the gravitational field, is discussed

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U2 - 10.1007/BF00759170

DO - 10.1007/BF00759170

M3 - Article

AN - SCOPUS:34250459423

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SP - 317

EP - 323

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 4

ER -

SL(2C) invariance of the gravitational field

Abstract

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