Schwarzschild spacetime without coordinates

Research output: Contribution to journalArticle

1 Citation (Scopus)

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
StatePublished - Apr 2010

Fingerprint

Orthonormal
Einstein Equations
Bundle
Space-time
Metric
Form

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Schwarzschild spacetime without coordinates. / Alvarez, Orlando.

In: Pure and Applied Mathematics Quarterly, Vol. 6, No. 2, 04.2010, p. 457-500.

Research output: Contribution to journalArticle

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