The statement of the title is proved. It implies that under physically reasonable conditions, spacetimes which are free from singularities are necessarily stably causal and hence admit a time function. Read as a singularity theorem it states that if there is some form of causality violation on spacetime then either it is the worst possible, namely violation of chronology, or there is a singularity. The analogous result: “Non-totally vicious spacetimes without lightlike rays are globally hyperbolic” is also proved, and its physical consequences are explored.

Chronological spacetimes without lightlike lines are stably causal / Minguzzi, Ettore. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 288:(2009), pp. 801-819. [10.1007/s00220-009-0784-6]

Chronological spacetimes without lightlike lines are stably causal

MINGUZZI, ETTORE
2009

Abstract

The statement of the title is proved. It implies that under physically reasonable conditions, spacetimes which are free from singularities are necessarily stably causal and hence admit a time function. Read as a singularity theorem it states that if there is some form of causality violation on spacetime then either it is the worst possible, namely violation of chronology, or there is a singularity. The analogous result: “Non-totally vicious spacetimes without lightlike rays are globally hyperbolic” is also proved, and its physical consequences are explored.
2009
288
801
819
Minguzzi, Ettore
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/349353
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