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Generalised time functions and finiteness of the Lorentzian distance

Journal Article


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).

Publication Date


  • 2016

Citation


  • Rennie, A. & Whale, B. E. (2016). Generalised time functions and finiteness of the Lorentzian distance. Journal of Geometry and Physics, 106 108-121.

Scopus Eid


  • 2-s2.0-84962027123

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5672

Has Global Citation Frequency


Number Of Pages


  • 13

Start Page


  • 108

End Page


  • 121

Volume


  • 106

Place Of Publication


  • Netherlands

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).

Publication Date


  • 2016

Citation


  • Rennie, A. & Whale, B. E. (2016). Generalised time functions and finiteness of the Lorentzian distance. Journal of Geometry and Physics, 106 108-121.

Scopus Eid


  • 2-s2.0-84962027123

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5672

Has Global Citation Frequency


Number Of Pages


  • 13

Start Page


  • 108

End Page


  • 121

Volume


  • 106

Place Of Publication


  • Netherlands