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

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

2006-10-12

arxiv.org/abs/gr-qc/0610065v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

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.

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