Exterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories

Details Exterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories Exterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories

2002-11-28

arxiv.org/abs/hep-th/0211270v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; More explicit title; two figures available from author

Scientific paper

We present two families of exterior differential systems (EDS) for causal embeddings of orthonormal frame bundles over Riemannian spaces of dimension q = 2,3,4,5.. into orthonormal frame bundles over flat spaces of higher dimension. We calculate Cartan characters showing that these EDS are dynamical field theories. The first family includes a new non-isometric embedding EDS for classical Einstein vacuum relativity (q = 4). The second, generated only by 2-forms, is a family of classical "stringy" or Kaluza-type (q = 5) integrable systems. Cartan forms are found for all these dynamical systems.

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