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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.