Exterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories

نویسنده

  • Frank B. Estabrook
چکیده

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 nonisometric 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 theories.

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تاریخ انتشار 2002