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Group covariance and spin motion in gravitational theory

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  • Halpern, Leopold

Abstract

The kinematics of a metric theory is developed which exhibits all the degrees of freedom of a semisimple local invariance group. The theory is a modification of multidimensional non-Abelian Kaluza-Klein theories with the Cartan-Killing metric of the group manifold as a source-free solution. The De Sitter group SO(3, 2) gives rise to additional degrees of freedom which may be interpreted as classical spin motion and spin-spin interaction. More extended invariance groups are considered.

Suggested Citation

  • Halpern, Leopold, 1982. "Group covariance and spin motion in gravitational theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 146-150.
    • Handle: RePEc:eee:phsmap:v:114:y:1982:i:1:p:146-150
    DOI: 10.1016/0378-4371(82)90275-8
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    Cited by:

    1. Binmore, Ken, 2015. "Rationality," Handbook of Game Theory with Economic Applications,, Elsevier.

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