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Monad method and canonical formalism of general relativity

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Abstract

In this note the general monad method is systematically represented, and it is shown how it may be reduced to its two basic special gauges. The last section deals with two kinds of canonical formalism, “coordinate” and “referential” ones, based on the kinemetric gauge.

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References

  1. Zelmanov, A. L. (1956).Dokl. Akad. Nauk SSSR,107, 815; (1959).Proc.6th Conf. Cosmog. 1957 (Izd. Akad. Nauk SSSR, Moscow), P. 144.

    Google Scholar 

  2. Dirac, P. A. M. (1958).Proc. R. Soc. London A,246, 333.

    Google Scholar 

  3. Dirac, P. A. M. (1959).Phys. Rev.,114, 924.

    Google Scholar 

  4. Antonov, V. I., and Vladimirov, Yu. S. (1972).Proc. 3rd Sov. Grav. Conf. Erevan, p. 199; (1972). Preprint No. ITP-72-137R of the Institute of Theoretical Physics, Acad. Nauk Uk.SSR, Kiev.

  5. Zelmanov, A. L., (1973).Dokl. Akad. Nauk SSSR,209, 822.

    Google Scholar 

  6. Bergmann, P. G. (1942). Introduction to the Theory of Relativity (Prentice-Hall, N.Y.).

    Google Scholar 

  7. Eckart, C. (1940).Phys. Rev.,58, 919.

    Google Scholar 

  8. Leaf, B. (1951).Phys. Rev.,84, 345.

    Google Scholar 

  9. Uhlmann, A. (1959–60).Wiss. Z. Friedrich Schiller Univ. Jena Math. Naturwiss. Reihe, H.1, 9,459.

  10. Pirani, F. (1962).Les Théories Relativistes de la Gravitation (CNRS, Paris), p. 85.

    Google Scholar 

  11. Dehnen, H. (1966).Wiss. Z. Friedrich Schiller Univ. Jena Math. Naturwiss. Reihe, H.1, Jahrg.,15, 15.

    Google Scholar 

  12. Zelmanov, A. L. (1968). Abstract,5th International Conf. on Grav. and the theory of Relativity, Tbilissi (English, p. 102).

  13. Mitskiévič, and Zakharov, V. N. (1970).Dokl. Akad. Nauk SSSR,195, 321.

    Google Scholar 

  14. Massa, E. (1974).Gen. Rel. Grav.,5, 555; 573; 715.

    Google Scholar 

  15. Antonov, V. I. (1973).Proc. Symp. Probl. Grav., Mendeleevo, p. 87.

  16. Kentaro Yano (1955).The Theory of Lie Derivatives and Applications. (North-Holland, Amsterdam).

    Google Scholar 

  17. Cartan, H. (1970).Formes Différentiels, (Hermann, Paris).

    Google Scholar 

  18. Vladimirov, Yu. S., and Efremov, V. N. (1973).Proc. Symp. Probl Grav., Mendeleevo, p. 7.

  19. Vladimirov, Yu. S. (1973).Method of Dyads in General Relativity (VINITI, 7228–73).

  20. Vladimirov, Yu. S. (1972).Proc. 3rd Sov. Grav. Conf., Erevan, p. 29.

  21. Vladimirov, Yu. S., and Efremov, V. N. (1974),Problems of the Theory of Gravitation and of Elementary Particles. (Atomizdat, Moscow), Vol. 5, p.24.

    Google Scholar 

  22. Vladimirov, Yu. S. (1974).Einstein's Collection 1972 (Nauka, Moscow).

    Google Scholar 

  23. Zelmanov, A. L. (1976).Dokl. Akad. Nauk SSSR,227, 78.

    Google Scholar 

  24. Polishchuk, R. F. (1972).Vestn. Mosk. Univ. Fiz.,13, 612; (1973)14, 3.

    Google Scholar 

  25. Vladimirova, L. F. (1976).Izv. Vyssh. Uchebn. Zaved. Fiz., No. 7, 43.

    Google Scholar 

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Antonov, V.I., Efremov, V.N. & Vladimirov, Y.S. Monad method and canonical formalism of general relativity. Gen Relat Gravit 9, 9–19 (1978). https://doi.org/10.1007/BF00772547

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