Generalised time functions and finiteness of the Lorentzian distance

Authors

Adam C. Rennie, University of WollongongFollow
Ben E. Whale, University of Otago

RIS ID

106606

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.

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

Additional Grant Number

http://purl.org/au-research/grants/ARC/DP0879238