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General relativity as a generalized Hamiltonian system

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Abstract

A rigorous setting for Dirac's generalized Hamiltonian dynamics in an infinite number of dimensions is presented. It is shown that the dynamical formulation of general relativity fits into this scheme.

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Author notes

  1. Mauro Francaviglia & Wlodzimierz M. Tulczyjew

    Present address: Department of Mathematics, University of Calgary, Calgary, Canada

Authors and Affiliations

  1. Max-Planck-Institüt für Physik und Astrophysik, München, Federal Republic of Germany

    Demetrios Christodoulou

  2. Institute of Mathematical Physics, University of Turin, Turin, Italy

    Mauro Francaviglia & Wlodzimierz M. Tulczyjew

Authors
  1. Demetrios Christodoulou
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  2. Mauro Francaviglia
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  3. Wlodzimierz M. Tulczyjew
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Work partially supported by GNFM-CNR.

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Christodoulou, D., Francaviglia, M. & Tulczyjew, W.M. General relativity as a generalized Hamiltonian system. Gen Relat Gravit 10, 567–579 (1979). https://doi.org/10.1007/BF00757208

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  • DOI: https://doi.org/10.1007/BF00757208

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