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Some “No Hole” Spacetime Properties are Unstable

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Abstract

We show a sense in which the spacetime property of effective completeness—a type of “local hole-freeness” or “local inextendibility”—is not stable.

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Notes

  1. See [1] and the references there.

  2. The reader is encouraged to consult [7, 16], and [10] for details. Less technical surveys of the global structure of spacetime are given by [6] and [13].

  3. See [5] for an earlier definition and [11] for a discussion of why a revision was needed.

  4. For more skepticism concerning “no hole” conditions, see [11, 12, 15].

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Acknowledgements

Special thanks to Thomas Barrett, Jeremy Butterfield, Erik Curiel, Sam Fletcher, David Malament, Jim Weatherall, and an anonymous referee for helping to improve and earlier draft.

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Manchak, J.B. Some “No Hole” Spacetime Properties are Unstable. Found Phys 48, 1539–1545 (2018). https://doi.org/10.1007/s10701-018-0211-y

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  • DOI: https://doi.org/10.1007/s10701-018-0211-y

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