Space-time extensions I

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The local extendibility of causal geodesically incomplete space-times is examined. It is shown that for a space-time including an incomplete inextendible causal geodesic curve γ there exists a particular Ck (resp. Ck-) local extension provided that the curvature and its covariant derivatives are uniformly bounded up to order k+1 (resp. k) in a synchronized frame field along a family of causal geodesics in some neighborhood of a final segment of γ and the strong causality condition is satisfied locally.

Original languageEnglish
Pages (from-to)2448-2464
Number of pages17
JournalJournal of Mathematical Physics
Volume34
Issue number6
Publication statusPublished - 1993

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Geodesic
Space-time
Derivatives
Covariant Derivative
Causality
Curvature
curvature
Curve
curves
Family

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Space-time extensions I. / Rácz, I.

In: Journal of Mathematical Physics, Vol. 34, No. 6, 1993, p. 2448-2464.

Research output: Contribution to journalArticle

Rácz, I 1993, 'Space-time extensions I', Journal of Mathematical Physics, vol. 34, no. 6, pp. 2448-2464.
Rácz, I. / Space-time extensions I. In: Journal of Mathematical Physics. 1993 ; Vol. 34, No. 6. pp. 2448-2464.
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