It is proved that in a distinguishing spacetime the horismos relation E+=J+\I+ generates the causal relation J+. In other words two causally related events are joined by a chain of horismotically related events, or again, the causal relation is the smallest transitive relation containing the horismos relation. The result is sharp in the sense that the distinction cannot be weakened to future or past distinction. Finally, it is proved that a spacetime in which the horismos relation generates the causal relation is necessarily non-total imprisoning.

In a distinguishing spacetime the horismos relation generates the causal relation / E. Minguzzi. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - STAMPA. - 26:(2009), pp. 165005-1-165005-6. [10.1088/0264-9381/26/16/165005]

In a distinguishing spacetime the horismos relation generates the causal relation

MINGUZZI, ETTORE
2009

Abstract

It is proved that in a distinguishing spacetime the horismos relation E+=J+\I+ generates the causal relation J+. In other words two causally related events are joined by a chain of horismotically related events, or again, the causal relation is the smallest transitive relation containing the horismos relation. The result is sharp in the sense that the distinction cannot be weakened to future or past distinction. Finally, it is proved that a spacetime in which the horismos relation generates the causal relation is necessarily non-total imprisoning.
2009
26
165005-1
165005-6
E. Minguzzi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/368110
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