Note on SL(2,C) gauge theory of gravitation

M. Carmeli

doi:10.1103/PhysRevD.14.2518

Note on SL(2,C) gauge theory of gravitation

M. Carmeli

Department of Physics

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

3 Scopus citations

Abstract

A previous paper suggested a Lagrangian density to the SL(2,C) gauge theory of general relativity that leads to the Bianchi equations of the Newman-Penrose equations. In this paper we propose a new Lagrangian density that also leads to the Bianchi equations, but with matter already substituted for nine of the ten components of the Ricci tensor, thus incorporating nine out of the ten Einstein conditions.

Original language	English
Pages (from-to)	2518-2520
Number of pages	3
Journal	Physical Review D
Volume	14
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.14.2518
State	Published - 1 Jan 1976

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.14.2518

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title = "Note on SL(2,C) gauge theory of gravitation",

abstract = "A previous paper suggested a Lagrangian density to the SL(2,C) gauge theory of general relativity that leads to the Bianchi equations of the Newman-Penrose equations. In this paper we propose a new Lagrangian density that also leads to the Bianchi equations, but with matter already substituted for nine of the ten components of the Ricci tensor, thus incorporating nine out of the ten Einstein conditions.",

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AB - A previous paper suggested a Lagrangian density to the SL(2,C) gauge theory of general relativity that leads to the Bianchi equations of the Newman-Penrose equations. In this paper we propose a new Lagrangian density that also leads to the Bianchi equations, but with matter already substituted for nine of the ten components of the Ricci tensor, thus incorporating nine out of the ten Einstein conditions.

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Note on SL(2,C) gauge theory of gravitation

Abstract

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