Abstract
Some general properties of completely separable, non-Hausdorff manifolds are studied and the notion of a non-Hausdorff space-time is introduced. It is shown that such a space-time must, under very general conditions, display a kind of causal anomaly.
Similar content being viewed by others
References
Hawking, S. W.: Proc. Roy. Soc. (London), Ser. A300, 187 (1967).
—— Penrose, R.: Proc. Roy. Soc. (London), Ser. A314, 529 (1970).
—— Ellis, G. F. R.: Astrophys. J.152, 25 (1968).
Carter, B.: Phys. Rev.174, 1559 (1968).
Israel, W.: Phys. Rev. D2, 641 (1970).
Geroch, R.: J. Math. Phys.9, 450 (1968).
Schmidt, B. G.: Contribution to Seminar on Bearing of Topology upon General Relativity, Gwatt, Switzerland, May 1970.
Hajicek, P.: Commun. math. Phys.17, 109 (1970).
-- J. Math. Phys., to be published.
Hicks, N. J.: Notes on Differential Geometry. Princeton: Van Nostrand 1965.
Hocking, J. G., Young, G. S.: Topology. Reading: Addison-Wesley 1961.
Geroch, R.: Unpublished.
Cattaneo, C.: Nuovo Cimento XIII, 237 (1959).
Boyer, R. H.: Proc. Roy. Soc. (London), Ser. A283, 343 (1963).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hajicek, P. Causality in non-Hausdorff space-times. Commun.Math. Phys. 21, 75–84 (1971). https://doi.org/10.1007/BF01646486
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01646486