Journal of Nonlinear Mathematical Physics

Volume 14, Issue 3, October 2007, Pages 388 - 397

A two-point boundary value problem on a Lorentz manifold arising in A. Poltorak's concept of reference frame

Authors
Peter S. Zykov1, Yuri E. Gliklikh2
1Physics and Mathematics Faculty, Kursk State University
2Mathematics Faculty, Voronezh State University
Corresponding Author
Yuri E. Gliklikh
Received 17 October 2006, Accepted 9 February 2007, Available Online 1 October 2007.
DOI
10.2991/jnmp.2007.14.3.7How to use a DOI?
Abstract

In A. Poltorak's concept, the reference frame in General Relativity is a certain manifold equipped with a connection. The question under consideration here is whether it is possible to join two events in the space-time by a time-like geodesic if they are joined by a geodesic of the reference frame connection that has a time-like initial vector. This question is interpreted as whether an event belongs to the proper future of another event in the space-time in case it is so in the reference frame. For reference frames of two special types some geometric conditions are found under which the answer is positive.

Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 3
Pages
388 - 397
Publication Date
2007/10/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2007.14.3.7How to use a DOI?
Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Peter S. Zykov
AU  - Yuri E. Gliklikh
PY  - 2007
DA  - 2007/10/01
TI  - A two-point boundary value problem on a Lorentz manifold arising in A. Poltorak's concept of reference frame
JO  - Journal of Nonlinear Mathematical Physics
SP  - 388
EP  - 397
VL  - 14
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2007.14.3.7
DO  - 10.2991/jnmp.2007.14.3.7
ID  - Zykov2007
ER  -