Causally Simple Spacetimes and Domain Theory

Abstract

Globally, hyperbolic spacetimes are the simplest kind of spacetimes which are studied in General Relativity. It is shown by Martin and Panangaden that it is possible to reconstruct globally hyperbolic spacetimes in a purely order theoretic manner using the causal relation J +. Indeed these spacetimes belong to a category that is equivalent to a special category of domains known as interval domains [8]. In this paper, it is shown that this result is true for a larger superclass of spacetimes.