A new topology for curved space–time which incorporates the causal, differential, and conformal structures

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  • S. W. Hawking
    Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, England
  • A. R. King
    Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, England
  • P. J. McCarthy
    Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, England

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<jats:p>A new topology is proposed for strongly causal space–times. Unlike the standard manifold topology (which merely characterizes continuity properties), the new topology determines the causal, differential, and conformal structures of space–time. The topology is more appealing, physical, and manageable than the topology previously proposed by Zeeman for Minkowski space. It thus seems that many calculations involving the above structures may be made purely topological.</jats:p>

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