Smoothing and extending cosmic time functions
Abstract
Any continuous time function on aC k space-timeV (i.e., a scalar onV that increases along any causal curve) can be approximated by smoothC k time functions. A time function defined on a (bounded) subset of a stably causalV can be extended to a time function on the whole ofV.
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- October 1977
- DOI:
- 10.1007/BF00759586
- Bibcode:
- 1977GReGr...8..815S
- Keywords:
-
- Astrophysics;
- Relativity;
- Smoothing;
- Space-Time Functions;
- Applications Of Mathematics;
- Hyperbolic Functions;
- Hyperspaces;
- Astrophysics