Non-imprisonment conditions on spacetime

Details Non-imprisonment conditions on spacetime Non-imprisonment conditions on spacetime

2007-12-23

arxiv.org/abs/0712.3949v2

J.Math.Phys.49:062503,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 2 figures. v2: improved results on totally imprisoned curves, a figure changed, some misprints fixed

Scientific paper

10.1063/1.2937907

The non-imprisonment conditions on spacetimes are studied. It is proved that the non-partial imprisonment property implies the distinction property. Moreover, it is proved that feeble distinction, a property which stays between weak distinction and causality, implies non-total imprisonment. As a result the non-imprisonment conditions can be included in the causal ladder of spacetimes. Finally, totally imprisoned causal curves are studied in detail, and results concerning the existence and properties of minimal invariant sets are obtained.

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