A note on non-compact Cauchy surfaces
A note on non-compact Cauchy surfaces
It is shown that if a spacetime has a non-compact Cauchy surface Σ, then its causal structure is completely determined by the class of compact subsets of Σ of the forms J−(p)∩Σ and J+(p)∩Σ. Since the causal structure determines its metric structure up to a conformal factor, this implies that …