SL(2, C) symmetry of the gravitational field dynamical variables

Moshe Carmeli

doi:10.1063/1.1665440

SL(2, C) symmetry of the gravitational field dynamical variables

Moshe Carmeli

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

32 Scopus citations

Abstract

We represent the spin coefficients and the Riemann tensor in the form of linear combinations of the infinitesimal generators of the group SL(2, C). This representation is similar to the way Yang and Mills write their dynamical variables in terms of the Pauli spin matrices. The spin coefficients take the role of the Yang-Mills-like potentials, whereas the Riemann tensor takes the role of the fields.

Original language	English
Pages (from-to)	2728-2732
Number of pages	5
Journal	Journal of Mathematical Physics
Volume	11
Issue number	9
DOIs	https://doi.org/10.1063/1.1665440
State	Published - 1 Jan 1970
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1665440

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abstract = "We represent the spin coefficients and the Riemann tensor in the form of linear combinations of the infinitesimal generators of the group SL(2, C). This representation is similar to the way Yang and Mills write their dynamical variables in terms of the Pauli spin matrices. The spin coefficients take the role of the Yang-Mills-like potentials, whereas the Riemann tensor takes the role of the fields.",

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AB - We represent the spin coefficients and the Riemann tensor in the form of linear combinations of the infinitesimal generators of the group SL(2, C). This representation is similar to the way Yang and Mills write their dynamical variables in terms of the Pauli spin matrices. The spin coefficients take the role of the Yang-Mills-like potentials, whereas the Riemann tensor takes the role of the fields.

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SL(2, C) symmetry of the gravitational field dynamical variables

Abstract

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