Conserved vector current of the SL(2, C) gauge theory of gravitation and Noether's theorem

M. Carmeli, N. Nissani

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In the SL(2, C) gauge theory of gravitation one obtains a conserved vector current which is analogous to the isotropic spin current of the ordinary SU(2) Yang-Mills theory. In a recent paper Malin has shown that the gravitational conserved current can be defined, and its conservation can be proved, in a spinor affine spacetime without assusming the exitence of a metric tensor, and that a metric structure is required to obtain a decomposition of the current as a sum of contributions of the sources and of the gravitational field itself. In this paper we apply Noether's theorem to obtain a general SL(2, C) invariant form of this conserved current.

Original languageEnglish
Pages (from-to)375-376
Number of pages2
JournalPhysics Letters B
Volume113
Issue number5
DOIs
StatePublished - 1 Jul 1982

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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