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On the topology of stable causality


A topological description of the stable causality condition on a spacetime is given. The structure of the subsets that, for a given point, control the fulfillment of strong and stable causality conditions at that point are studied. Separation properties of the relevant topologies are also analyzed.

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  1. Penrose, R. (1972).Techniques of Differential Topology in Relativity. Regional Conference Series in Applied Mathematics, 7 (SIAM, Philadelphia).

    Google Scholar 

  2. Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Spacetime. (Cambridge University Press, Cambridge).

    Google Scholar 

  3. Beem, J. K., and Ehrlich, P. E. (1981).Global Lorentzian Geometry. (Marcel Dekker, New York).

    Google Scholar 

  4. O'Neill, B. (1983).Semiriemannian Geometry with Applications to Relativity, (Academic Press, New York).

    Google Scholar 

  5. Geroch, R. (1970).J. Math. Phys.,11, 437.

    Google Scholar 

  6. Lerner, D. E. (1973).Commun. Math, Phys.,32, 19.

    Google Scholar 

  7. Beem, J. K. (1976).Commun. Math. Phys.,49, 179.

    Google Scholar 

  8. Seifert, H.-J. (1971).Gen. Rel. Grav.,1, 247.

    Google Scholar 

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Aguirre-Dabán, E., Gutiérrez-López, M. On the topology of stable causality. Gen Relat Gravit 21, 45–59 (1989).

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  • Differential Geometry
  • Separation Property
  • Causality Condition
  • Topological Description
  • Stable Causality