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Theb-boundary of tensor bundles over a space-time

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Abstract

In [1] it was shown how to attach a boundary to any space-time. In the present paper a boundary is constructed for any bundle associated with the frame bundle of a space time. In such a way limits of tensor fields at boundary points of a space-time are defined. Using this we show that the Lorentz metric has always a unique continuous extension to theb-boundary of the space-time.

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References

  1. Schmidt, B. G.: General relativity and gravitation1, 269 (1971).

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  2. Sternberg, S.: Lectures on differential geometry. Englewood Cliffs New Jersey: Prentice Hall 1964.

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  3. Hocking, J. G., Young, G. S.: Topology. Reading, Mass.: Addison-Wesley 1961.

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  4. Kobayashi, S., Nomizu, K.: Foundation of differential geometry, Vol. 1. New York: Interscience 1963.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Bern, Switzerland

    P. Hájíček

  2. Institut für Theoretische Physik, Universität Hamburg, Germany

    B. G. Schmidt

Authors
  1. P. Hájíček
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  2. B. G. Schmidt
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Supported by Alexander von Humboldt-Stiftung.

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Hájíček, P., Schmidt, B.G. Theb-boundary of tensor bundles over a space-time. Commun.Math. Phys. 23, 285–295 (1971). https://doi.org/10.1007/BF01893618

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  • DOI: https://doi.org/10.1007/BF01893618

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