Literature Cited
P. A. M. Dirac, Proc. R. Soc. London Ser. A,246, 333 (1958); Phys. Rev.,114, 924 (1959).
R. Arnowitt, S. Deser, and C. W. Misner, Phys. Rev.,117, 1595 (1960);118, 1100 (1960);120, 313 (1960);121, 1556 (1961);122, 997 (1961); J. Math. Phys.,1, 434 (1960).
T. Regge and C. Teitelboim, Ann. Phys. (N. Y.),88, 286 (1974).
A. E. Pukhov, Vestn. Mosk. Univ. Fiz. Astron.,24, 41 (1983).
V. I. Denisov and A. A. Logunov. Reviews of Science and Technology. Modern Problems of Mathematics, Vol. 21 [in Russian], VINITI, Moscow (1982).
V. I. Denisov and V. O. Solov'ev, Teor. Mat. Fiz.,56, 301 (1983).
L. D. Faddeev. Usp. Fiz. Nauk.136, 435 (1982).
R. Schoen and S.-T. Yau. Commun. Math. Phys.,65, 45 (1979);79, 47 (1981);79, 231 (1981); Phys. Rev. Lett.,43, 1457 (1979).
E. Witten, Commun. Math. Phys.,80, 381 (1981).
V. O. Solov'ev, “Minkowski space and the asymptotic Poincaré group in the general theory of relativity,” Preprint OTF 83-193 [in Russian], Institute of High Energy Physics, Serpukhov (1983).
P. G. Bergmann and A. Komar. Int. J. Theor. Phys.,5, 15 (1972).
C. Teitelboim, Ann. Phys. (N.Y.),79, 542 (1973).
F. Gürsey, “Introduction to group theory,” in: Group Theory and Elementary Particles (Collection of Russian Translations edited by D. Ivanenko), Mir, Moscow (1967), pp. 25–113.
D. Christodoulou and N. O. Murchadha, Commun. Math. Phys.,80, 271 (1981).
J. A. Schouten and D. J. Struik, Einführung in die neurenen Methoden der Differentialgeometrie Noordhoff, Groningen (1938).
P. A. M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science Monographs Series No. 2, Yeshiva University. New York (1964).
V. O. Solov'ev, “Noether's theorems in the canonical formalism of the general theory of relativity. II. Global approach,” Preprint OTF 82-18 [in Russian], Institute of High Energy Physics, Serpukhov (1982).
O. Reula, J. Math. Phys.,23, 810 (1982).
M. Henneaux and C. Teitelboim, Phys. Lett. B,142, 355 (1984).
Additional information
Institute of High Energy Physics, Serpukhov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 65, No. 3, pp. 400–414, December, 1985.
Rights and permissions
About this article
Cite this article
Solov'ev, V.O. Generator algebra of the asymptotic Poincaré group in the general theory of relativity. Theor Math Phys 65, 1240–1249 (1985). https://doi.org/10.1007/BF01036133
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01036133