Null-tetrad formulation of the Yang-Mills field equations

M. Carmeli, Ch Charac, M. Kaye

Research output: Contribution to journalArticlepeer-review


The Yang-Mills dynamical variables in the presence of gravitation are presented in terms of new variables by means of a null-tetrad and spin coefficient method. The Yang-Mills equations in curved space are consequently written in the null-tetrad method. The resulting equations then resemble the Newman-Penrose version of Maxwell's equations extended to a non-Abelian gauge group. A special consideration is then given to the flat-space case, thus recovering the usual Yang-Mills theory, but now written in the null-tetrad method. The advantages of the new approach to the Yang-Mills equations are illustrated by considering the problem of exact solutions of these equations both in the presence and in the absence of gravitation.

Original languageEnglish
Pages (from-to)310-334
Number of pages25
JournalNuovo Cimento della Societa Italiana di Fisica B
Issue number2
StatePublished - 1 Jun 1978

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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