Abstract
The problem of the existence of local extensions of spacetime is considered. It is shown that for a spacetime including an incomplete inextendible non-coiling causal geodesic curve there exists a particular C{sup k} (resp. C{sup k-}) local extension provided that the curvature and its covariant derivatives are well behaved up to order k + 1 (resp. k) along a family of causal geodetics (around the chosen one). (R.P.) 15 refs.
Citation Formats
Racz, I.
Spacetime extensions Pt. 1.
Hungary: N. p.,
1991.
Web.
Racz, I.
Spacetime extensions Pt. 1.
Hungary.
Racz, I.
1991.
"Spacetime extensions Pt. 1."
Hungary.
@misc{etde_10135911,
title = {Spacetime extensions Pt. 1}
author = {Racz, I}
abstractNote = {The problem of the existence of local extensions of spacetime is considered. It is shown that for a spacetime including an incomplete inextendible non-coiling causal geodesic curve there exists a particular C{sup k} (resp. C{sup k-}) local extension provided that the curvature and its covariant derivatives are well behaved up to order k + 1 (resp. k) along a family of causal geodetics (around the chosen one). (R.P.) 15 refs.}
place = {Hungary}
year = {1991}
month = {Sep}
}
title = {Spacetime extensions Pt. 1}
author = {Racz, I}
abstractNote = {The problem of the existence of local extensions of spacetime is considered. It is shown that for a spacetime including an incomplete inextendible non-coiling causal geodesic curve there exists a particular C{sup k} (resp. C{sup k-}) local extension provided that the curvature and its covariant derivatives are well behaved up to order k + 1 (resp. k) along a family of causal geodetics (around the chosen one). (R.P.) 15 refs.}
place = {Hungary}
year = {1991}
month = {Sep}
}