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Some examples of incomplete space-times

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Abstract

An example is given of a space-time which is timelike and spacelike complete but null incomplete. An example is also given of a space-time which is geodesically complete but contains an inextendible timelike curve of bounded acceleration and finite length. These two examples may be modified so that in each case they become globally hyperbolic and retain the stated properties. All of the examples are conformally equivalent to open subsets of the two-dimensional Minkowski space.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Missouri, 65201, Columbia, Missouri

    John K. Beem

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  1. John K. Beem
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Beem, J.K. Some examples of incomplete space-times. Gen Relat Gravit 7, 501–509 (1976). https://doi.org/10.1007/BF00766409

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  • DOI: https://doi.org/10.1007/BF00766409

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