Space-time extensions I.

Details Space-time extensions I. Space-time extensions I.

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmp....34.2448r&link_type=abstract

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

Mathematics

Mathematical Physics

6

Scientific paper

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.

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