Skip to main content
    • Aa
    • Aa

On the structure of causal spaces

  • E. H. Kronheimer (a1) and R. Penrose (a1)

The paper examines the structure obtained by abstracting from the conventional (manifold) representation of relativistic space-time the concept of an event-set equipped with two partial orderings, whose counterparts are the notions ‘causally precedes’ and ‘chronologically precedes in the history of some observer’.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

(1) Y. Ahmavaara The structure of space and the formalism of relativistic quantum theory. I. J. Math. Phys. 6 (1965), 8793.

(3) H. S. M. Coxeter and G. J. Whitrow World-structure and non-Euclidean honeycombs. Proc. Roy. Soc. London Ser. A201 (1950), 417437.

(4) D. Finkelstein and C. W. Misner Some new conservation laws. Ann. Physics 6 (1959), 230243.

(5) S. W. Hawking The occurrence of singularities in cosmology. Proc. Roy. Soc. London Ser. A294 (1966), 511521.

(6) E. L. Hill Relativistic theory of discrete momentum space and discrete space-time. Phys. Rev. 100 (1955), 17801783.

(7) C. W. Misner The flatter regions of Newman, Unti, and Tamburino's generalized Schwarzschild space. J. Math. Phys. 4 (1963), 924937.

(8) R. Penrose Gravitational collapse and space-time singularities. Phys. Rev. Lett. 14 (1965), 5759.

(9) R. Penrose Zero rest-mass fields including gravitation: asymptotic behaviour. Proc. Roy. Soc. London Ser. A284 (1965), 159203.

(10) R. Penrose A remarkably property of plane waves in general relativity. Rev. Mod. Phys. 37 (1965), 215220.

(11) A. Schild Discrete space-time and integral Lorentz transformations. Canad. J. Math. 1 (1949), 2947.

(12) H. S. Snyder Quantized space-time. Phys. Rev. 71 (1947), 3841.

(13) E. C. Zeeman Causality implies the Lorentz group. J. Math. Phys. 5 (1964), 490493.

(14) R. W. Bass and L. Witten Remark on cosmological models. Rev. Mod. Phys. 29 (1957), 452453.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 35 *
Loading metrics...

Abstract views

Total abstract views: 140 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 29th May 2017. This data will be updated every 24 hours.