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
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/).
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 -