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Arms, Judith M.; Marsden, Jerrold E.; Moncrief, Vincent

The structure of the space of solutions of Einstein’s equations. II: Several Killing fields and the Einstein-Yang-Mills equations. (English) Zbl 0499.53052

Ann. Phys. 144, 81-106 (1982).
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Cited in 1 Review
Cited in 35 Documents

MSC:

53C80 Applications of global differential geometry to the sciences
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
83C40 Gravitational energy and conservation laws; groups of motions

Keywords:

space of solutions; Cauchy surface; Einstein-Yang-Mills system; Killing vectors; singularities

Citations:

Zbl 0454.53044
Cite Review PDF
Full Text: DOI

References:

[1] I. Anderson and J. Arms; I. Anderson and J. Arms
[2] Arms, J., J. Math. Phys., 20, 443-453 (1979)
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[11] Golubitsky, M.; Marsden, J., The Morse lemma in infinite dimensions via singularity theory, SIAM J. Math. An. (1982), in press
[12] Isenberg, J.; Marsden, J., Phys. Rep. (1982), in press
[13] Jantzen, R., Commun. Math. Phys., 64, 211-232 (1979) · Zbl 0404.53054
[14] Jantzen, R., (Tipler, F., Essays on General Relativity (1980), Academic Press: Academic Press New York) · Zbl 0443.00020
[15] Kondracki, W.; Rogulski, J., The stratification structure in the space of gauge equivalent (1981), Yang-Mills connections, preprint
[16] Kuranishi, M., (Aeppli, A.; etal., Proceedings of Conference on Complex Analysis. Proceedings of Conference on Complex Analysis, Minneapolis, 1964 (1965), Springer-Verlag: Springer-Verlag Berlin/New York)
[17] Marsden, J.; Tipler, F., Phys. Rep., 66, 109-139 (1980)
[18] Marsden, J.; Weinstein, A., Rep. Math. Phys., 5, 121-130 (1974) · Zbl 0327.58005
[19] Moncrief, V., J. Math. Phys., 16, 493-498 (1975) · Zbl 0314.53035
[20] Moncrief, V., J. Math. Phys., 17, 1893-1902 (1976)
[21] Moncrief, V., Ann. Phys., 108, 387-400 (1977)
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[23] Moncrief, V., Ann. Phys., 141, 83-103 (1982) · Zbl 0539.53046
[24] Morrow, J.; Kodaira, K., (Complex Manifolds (1971), Holt, Rinehart and Winston: Holt, Rinehart and Winston New York) · Zbl 0325.32001
[25] Saraykar, R. V.; Joshi, N. E., J. Math. Phys., 22, 343-347 (1981) · Zbl 0476.35011
[26] Saraykar, R. V.; Joshi, N. E., J. Math. Phys., 23, 1738 (1982)
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[28] Sniatycki, J., (Proceedings, Summer School on Theoretical Physics, Clausthal (1982)), to appear
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