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arXiv · hep-th/0211270

Exterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories

Frank B. Estabrook
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Abstract

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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Frank B. Estabrook. 2003-04-10. Exterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories. https://arxiv.org/abs/hep-th/0211270

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