Generalised time functions and finiteness of the Lorentzian distance
RIS ID
106606
Abstract
We show that finiteness of the Lorentzian distance is equivalent to the existence of generalised time functions with gradient uniformly bounded away from light cones. To derive this result we introduce new techniques to construct and manipulate achronal sets. As a consequence of these techniques we obtain a functional description of the Lorentzian distance extending the work of Franco (2010) and Moretti (2003).
Grant Number
ARC/DP0879238
Publication Details
Rennie, A. & Whale, B. E. (2016). Generalised time functions and finiteness of the Lorentzian distance. Journal of Geometry and Physics, 106 108-121.