Abstract
We investigate the behavior of curves in the space of Riemannian metrics which corresponds to Einstein space-times admitting a Gaussian foliation. Different types of variational principles are formulated and some global dynamical properties of these space-times are obtained.
Similar content being viewed by others
References
Landau, L. D., and Lifshitz, E. M. (1957).The Classical Theory of Fields, 4th English edition (Pergamon Press, New York), p. 289.
Christodoulou, D., and Francaviglia, M. (1979). “The geometry of the thin sandwich problem,” in Proceedings of International School of Physics “Enrico Fermi”, Course LXVII “Isolated Gravitating Systems in General Relativity,” T. Ehlers ed. (North Holland, Amsterdam).
Christodoulou, D., and Francaviglia, M. (1979). “On certain foliations of the space of Riemannian metrics on compact 3-manifolds” (submitted for publication).
De Witt, B. (1967).Phys. Rev.,160, 113.
Fischer, A., and Marsden, J. E. (1975). “Linearization stability of nonlinear partial differential equations,”Proc. Symp. Pure Math. AMS,27, 219.
Author information
Authors and Affiliations
Additional information
Alexander-von-Humboldt-Fellow.
Rights and permissions
About this article
Cite this article
Christodoulou, D., Francaviglia, M. Some dynamical properties of Einstein space-times admitting a Gaussian foliation. Gen Relat Gravit 10, 455–459 (1979). https://doi.org/10.1007/BF00759281
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00759281