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Invariants of general relativity

I. — Canonical formalism

  • Published:
Il Nuovo Cimento (1955-1965)

Summary

It is shown that, if the Einstein equations are satisfied, the gravitational field invariants must be functions of the Dirac canonical variables only. It is further shown that the non-canonical variablesG 0μ can beexplicitly expressed as functions of the canonical ones (and their first time derivatives) and therefore can be eliminated from the Einstein equations.

Riassunto

Si mostra che, se le equazioni di Einstein sono soddisfatte, gli invarianti del campo gravitazionale devono essere funzioni delle sole variabili canoniche di Dirac. Si mostra inoltre che le variabili non canonicheG 0μ possono essere espresse esplicitamente come funzioni di quelle canoniche (e delle loro prime derivate temporali) e quindi possono essere eliminate dalle equazioni di Einstein.

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Authors and Affiliations

  1. Department of Physics, Israel Institute of Technology, Haifa

    A. Peres

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  1. A. Peres
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Additional information

Partly supported by the U. S. Air Force, through the European Office of the Air Research and Development Command.

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Peres, A. Invariants of general relativity. Nuovo Cim 18 (Suppl 1), 32–35 (1960). https://doi.org/10.1007/BF02726035

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  • DOI: https://doi.org/10.1007/BF02726035

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