Generalised time functions and finiteness of the Lorentzian distance
- Resource Type
- Authors
- Adam Rennie; Ben Whale
- Source
- Journal of Geometry and Physics. 106:108-121
- Subject
- Pure mathematics
Work (thermodynamics)
010308 nuclear & particles physics
010102 general mathematics
General Physics and Astronomy
Construct (python library)
16. Peace & justice
01 natural sciences
Functional description
Light cone
0103 physical sciences
Uniform boundedness
Geometry and Topology
0101 mathematics
Mathematical Physics
Mathematics
- Language
- ISSN
- 0393-0440
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).