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

Moshe Carmeli

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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 languageEnglish
Pages (from-to)2728-2732
Number of pages5
JournalJournal of Mathematical Physics
Issue number9
StatePublished - 1 Jan 1970
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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