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
Zelmanov, A. L. (1956).Dokl. Akad. Nauk SSSR,107, 815; (1959).Proc.6th Conf. Cosmog. 1957 (Izd. Akad. Nauk SSSR, Moscow), P. 144.
Dirac, P. A. M. (1958).Proc. R. Soc. London A,246, 333.
Dirac, P. A. M. (1959).Phys. Rev.,114, 924.
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.
Zelmanov, A. L., (1973).Dokl. Akad. Nauk SSSR,209, 822.
Bergmann, P. G. (1942). Introduction to the Theory of Relativity (Prentice-Hall, N.Y.).
Eckart, C. (1940).Phys. Rev.,58, 919.
Leaf, B. (1951).Phys. Rev.,84, 345.
Uhlmann, A. (1959–60).Wiss. Z. Friedrich Schiller Univ. Jena Math. Naturwiss. Reihe, H.1, 9,459.
Pirani, F. (1962).Les Théories Relativistes de la Gravitation (CNRS, Paris), p. 85.
Dehnen, H. (1966).Wiss. Z. Friedrich Schiller Univ. Jena Math. Naturwiss. Reihe, H.1, Jahrg.,15, 15.
Zelmanov, A. L. (1968). Abstract,5th International Conf. on Grav. and the theory of Relativity, Tbilissi (English, p. 102).
Mitskiévič, and Zakharov, V. N. (1970).Dokl. Akad. Nauk SSSR,195, 321.
Massa, E. (1974).Gen. Rel. Grav.,5, 555; 573; 715.
Antonov, V. I. (1973).Proc. Symp. Probl. Grav., Mendeleevo, p. 87.
Kentaro Yano (1955).The Theory of Lie Derivatives and Applications. (North-Holland, Amsterdam).
Cartan, H. (1970).Formes Différentiels, (Hermann, Paris).
Vladimirov, Yu. S., and Efremov, V. N. (1973).Proc. Symp. Probl Grav., Mendeleevo, p. 7.
Vladimirov, Yu. S. (1973).Method of Dyads in General Relativity (VINITI, 7228–73).
Vladimirov, Yu. S. (1972).Proc. 3rd Sov. Grav. Conf., Erevan, p. 29.
Vladimirov, Yu. S., and Efremov, V. N. (1974),Problems of the Theory of Gravitation and of Elementary Particles. (Atomizdat, Moscow), Vol. 5, p.24.
Vladimirov, Yu. S. (1974).Einstein's Collection 1972 (Nauka, Moscow).
Zelmanov, A. L. (1976).Dokl. Akad. Nauk SSSR,227, 78.
Polishchuk, R. F. (1972).Vestn. Mosk. Univ. Fiz.,13, 612; (1973)14, 3.
Vladimirova, L. F. (1976).Izv. Vyssh. Uchebn. Zaved. Fiz., No. 7, 43.
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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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DOI: https://doi.org/10.1007/BF00772547