Abstract
A set of conditions for the reasonableness of space-time is proposed and investigated. Using these, together with strong causality and an assumption of genericness, it is shown that future timelike or null geodesically incomplete space-times contain either curvature or intermediate singularities, or primordial singularities.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Clarke, C. J. S.: Commun. math. Phys.41, 65–78 (1975)
Hajicek, P.: Commun. math. Phys.21, 75–84 (1971)
Hajicek, P.: J. math. Phys.12, 157–160 (1971)
Kobayaski, S., Nomizu, K.: Foundations of differential geometry, Vol. I. New York: Interscience 1969
Hawking, S. W., Ellis, G. F. R.: The large scale structure of space-time. Cambridge: University Press 1973
Steinmüller, B., King, A. R., Lasota, J. P.: Phys. Let. A51, 191 (1975)
Schmidt, B. G.: J. general relativity and gravitation1, 209–280 (1971)
Geroch, R. P., Kronheimer, E. H., Penrose, R.: Proc. Roy. Soc. Lond. A327, 545–567 (1972)
Hocking, J. G., Young, G. S.: Topology. Reading: Addison-Wesley 1961
Geroch, R. P.: “Singularities” in relativity, ed. Carmeli, M., Fickler, S. T., Witten, L.: New York, London: Plenum Press 1970
Kelley, J. L.: General topology. Princeton: Van Nostrand 1955
Kowalsky, H.-J.: Topologische Räume. Basel, Stuttgart: Birkhäuser 1961
Author information
Authors and Affiliations
Additional information
Communicated by J. Ehlers
Rights and permissions
About this article
Cite this article
Clarke, C.J.S. Space-time singularities. Commun.Math. Phys. 49, 17–23 (1976). https://doi.org/10.1007/BF01608632
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01608632