Topological aspects of the bel-petrov classification

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ID: 111344
1970
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Abstract
The topological aspects of the Bel-Petrov classification of the curvature tensor are examined for compact orientable space-times in which the Einstein equations for the exterior case are satisfied. It is shown that for such space-times of Bel Case III the metric tensor is singularity-free and that the Pontrjagin number identically vanishes. Bel Cases I and II are examined and conditions are given for which the metric is singularity-free and the Pontrjagin number vanishes. Applications to gravitional radiation in general relativity are discussed.
Reference Key
zund1970annalitopological Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors J. D. Zund;J. D. Zund;
Journal annali di matematica pura ed applicata
Year 1970
DOI
doi:10.1007/BF02415122
URL
https://link.springer.com/article/10.1007/BF02415122
Keywords
mathematics general

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