General relativity and conjugate ordinary differential equations. (English) Zbl 0362.34023


34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30 Linear ordinary differential equations and systems
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[1] Hawking, S. W.; Ellis, G. F. R: The large scale structure of spacetime. (1973) · Zbl 0265.53054
[2] Misner, Charles W.; Thorne, Kip S.; Wheeler, John A.: Gravitation. (1973) · Zbl 1375.83002
[3] Tipler, Frank J.: Singularities in universes with negative cosmological constant. Astrophys. J. 209, 12-15 (1976)
[4] Tipler, Frank J.: Causality violation in general relativity. Dissertation (1976)
[5] Hawking, S. W.; Penrose, Roger: The singularities of gravitational collapse and cosmology. Proc. roy. Soc. London ser. A 314, 529-548 (1970) · Zbl 0954.83012
[6] Epstein, H.; Glaser, V.; Jaffe, A.: Nonpositivity of the energy density in quantized field theories. Nuovo cimento 36, 1016-1022 (1965)
[7] Leighton, Walter: On self-adjoint differential equations of second order. J. London math. Soc. 27, 37-47 (1952) · Zbl 0048.06503
[8] Hille, Einar: Lectures on ordinary differential equations. (1969) · Zbl 0179.40301
[9] Leighton, Walter: Principal quadratic functionals. Trans. amer. Math. soc. 67, 253-274 (1949) · Zbl 0041.22404
[10] Tipler, Frank J.: Causality violation and singularities. Ann. physics 108, 1-36 (1977) · Zbl 0369.53057
[11] Jr., James W. York: Role of conformai three-geometry in the dynamics of gravitation. Phys. rev. Lett. 28, 1082-1085 (1972)
[12] Choquet-Bruhat, Yvonne: Sous-variétés maximales, ou à courbure constante, de variétés lorentziennes. CR acad. Sci. Paris, ser. A 280, 169-171 (1975) · Zbl 0296.53043
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