Schwarzschild spacetime without coordinates

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We discuss how to construct the full Schwarzschild (KruskalSzekeres) spacetime in one swoop by using the bundle of orthonormal Lorentz frames and the Einstein equation without the use of coordinates. We never have to write down the Kruskal-Szekeres or an equivalent form of the metric.

Original languageEnglish (US)
Pages (from-to)457-500
Number of pages44
JournalPure and Applied Mathematics Quarterly
Volume6
Issue number2
DOIs
StatePublished - Apr 2010

Keywords

  • Frame bundles
  • General relativity
  • Global geometry
  • Gravitation
  • Schwarzschild solution

ASJC Scopus subject areas

  • Mathematics(all)

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