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References
A. Fischer, J. Marsden and V. Moncrief, "The Structure of the Space of Solutions of Einstein's Equations. I. One Killing Field", unpublished.
A. Fischer and J. Marsden, Bull. Am. Math. Soc. 79, 997 (1973).
A. Fischer and J. Marsden, Proc. Symp. Pure Math. 27, 219 (1975).
V. Moncrief, J. Math. Phys. 16, 493 (1975).
V. Moncrief, J. Math. Phys. 17, 1893 (1976).
J. Arms and J. Marsden, Ind. Math. J. 28, 119 (1979).
D. Brill, "Isolated Solutions in General Relativity", University of Maryland Technical Report No. 71-076 (1971).
D. Brill and S. Deser, Commun. Math. Phys. 32, 291 (1973).
Y. Choquet-Bruhat, C. R. Acac. Sci. Paris 280, 169 (1975).
V. Moncrief, Ann. Phys. 108, 387 (1977).
J. Arms, J. Math. Phys. 20, 443 (1979).
P. D'Eath, Ann. Phys. 98, 237 (1976).
V. Moncrief, Phys. Rev. D. 16, 1702 (1977).
A. Taub, Commun. Math. Phys. 15, 235 (1969).
J. Marsden and A. Weinstein, Rep. Math. Phys. 5, 121 (1974).
R. Bott, Ann. of Math. 60, 248 (1954).
A. Tromba, Canad. J. Math. 28, 640 (1976).
M. Buchner, J. Marsden and S. Schecter, "Differential topology and Singularity Theory in the Solution of Nonlinear Equations", (to appear).
A. Taub, contribution to "Relativistic Fluid Dynamics", edited by C. Cattaneo (Lectures at the Centro Internazionale Matematico Estivo, Bressanone, 1970), Edizioni Cremonese, Rome (1971). See also: A. Taub, J. Math. Phys. 2, 787 (1961).
B. Coll, J. Math. Phys. 18, 1918 (1977).
D. Ebin, Symm. Pure Math., Amer. Math. Soc. 15, 11 (1970).
R. Palais (unpublished) has constructed an affine slice for the action of D3 on M. An analogous slice for the D3 slice on T*M was constructed in Ref. (1).
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Moncrief, V. (1980). The branching of solutions of Einstein's equations. In: Kaiser, G., Marsden, J.E. (eds) Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 775. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092019
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DOI: https://doi.org/10.1007/BFb0092019
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