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Global Connectivity by Timelike Geodesics
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Zeitschriftentitel: | Zeitschrift für Naturforschung A |
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Personen und Körperschaften: | |
In: | Zeitschrift für Naturforschung A, 22, 1967, 9, S. 1356-1360 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
Walter de Gruyter GmbH
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Schlagwörter: |
author_facet |
Seifert, Hans-Jürgen Seifert, Hans-Jürgen |
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author |
Seifert, Hans-Jürgen |
spellingShingle |
Seifert, Hans-Jürgen Zeitschrift für Naturforschung A Global Connectivity by Timelike Geodesics Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics |
author_sort |
seifert, hans-jürgen |
spelling |
Seifert, Hans-Jürgen 1865-7109 0932-0784 Walter de Gruyter GmbH Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics http://dx.doi.org/10.1515/zna-1967-0912 <jats:p>The problem of existence of timelike or null geodetic arcs is examinated. It is shown that some transparent causality conditions are sufficient for the existence of an extremal geodetic arc between every pair of events joined by a timelike curve. In the case of a complete space-time these assumptions are also necessary. Some applications to the existence of global space-sections and the structure of space-times with a Cauchy surface are given.</jats:p> Global Connectivity by Timelike Geodesics Zeitschrift für Naturforschung A |
doi_str_mv |
10.1515/zna-1967-0912 |
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Physik Mathematik Chemie und Pharmazie |
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Walter de Gruyter GmbH, 1967 |
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Walter de Gruyter GmbH, 1967 |
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1865-7109 0932-0784 |
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1865-7109 0932-0784 |
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English |
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1967 |
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Walter de Gruyter GmbH |
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Zeitschrift für Naturforschung A |
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title |
Global Connectivity by Timelike Geodesics |
title_unstemmed |
Global Connectivity by Timelike Geodesics |
title_full |
Global Connectivity by Timelike Geodesics |
title_fullStr |
Global Connectivity by Timelike Geodesics |
title_full_unstemmed |
Global Connectivity by Timelike Geodesics |
title_short |
Global Connectivity by Timelike Geodesics |
title_sort |
global connectivity by timelike geodesics |
topic |
Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics |
url |
http://dx.doi.org/10.1515/zna-1967-0912 |
publishDate |
1967 |
physical |
1356-1360 |
description |
<jats:p>The problem of existence of timelike or null geodetic arcs is examinated. It is shown that some transparent causality conditions are sufficient for the existence of an extremal geodetic arc between every pair of events joined by a timelike curve. In the case of a complete space-time these assumptions are also necessary. Some applications to the existence of global space-sections and the structure of space-times with a Cauchy surface are given.</jats:p> |
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author | Seifert, Hans-Jürgen |
author_facet | Seifert, Hans-Jürgen, Seifert, Hans-Jürgen |
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container_issue | 9 |
container_start_page | 1356 |
container_title | Zeitschrift für Naturforschung A |
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description | <jats:p>The problem of existence of timelike or null geodetic arcs is examinated. It is shown that some transparent causality conditions are sufficient for the existence of an extremal geodetic arc between every pair of events joined by a timelike curve. In the case of a complete space-time these assumptions are also necessary. Some applications to the existence of global space-sections and the structure of space-times with a Cauchy surface are given.</jats:p> |
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imprint | Walter de Gruyter GmbH, 1967 |
imprint_str_mv | Walter de Gruyter GmbH, 1967 |
institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
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physical | 1356-1360 |
publishDate | 1967 |
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publisher | Walter de Gruyter GmbH |
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series | Zeitschrift für Naturforschung A |
source_id | 49 |
spelling | Seifert, Hans-Jürgen 1865-7109 0932-0784 Walter de Gruyter GmbH Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics http://dx.doi.org/10.1515/zna-1967-0912 <jats:p>The problem of existence of timelike or null geodetic arcs is examinated. It is shown that some transparent causality conditions are sufficient for the existence of an extremal geodetic arc between every pair of events joined by a timelike curve. In the case of a complete space-time these assumptions are also necessary. Some applications to the existence of global space-sections and the structure of space-times with a Cauchy surface are given.</jats:p> Global Connectivity by Timelike Geodesics Zeitschrift für Naturforschung A |
spellingShingle | Seifert, Hans-Jürgen, Zeitschrift für Naturforschung A, Global Connectivity by Timelike Geodesics, Physical and Theoretical Chemistry, General Physics and Astronomy, Mathematical Physics |
title | Global Connectivity by Timelike Geodesics |
title_full | Global Connectivity by Timelike Geodesics |
title_fullStr | Global Connectivity by Timelike Geodesics |
title_full_unstemmed | Global Connectivity by Timelike Geodesics |
title_short | Global Connectivity by Timelike Geodesics |
title_sort | global connectivity by timelike geodesics |
title_unstemmed | Global Connectivity by Timelike Geodesics |
topic | Physical and Theoretical Chemistry, General Physics and Astronomy, Mathematical Physics |
url | http://dx.doi.org/10.1515/zna-1967-0912 |