REVIEW 1 cited by
On differentiability of volume time functions
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We show differentiability of a class of Geroch's volume functions on globally hyperbolic manifolds. Furthermore, we prove that every volume function satisfies a local anti-Lipschitz condition over causal curves, and that locally Lipschitz time functions which are locally anti-Lipschitz can be uniformly approximated by smooth time functions with timelike gradient. Finally, we prove that in stably causal spacetimes Hawking's time function can be uniformly approximated by smooth time functions with timelike gradient.
Forward citations
Cited by 1 Pith paper
-
Globally hyperbolic spacetimes can be defined without the 'causal' condition
For non-compact spacetimes of dimension at least three, compact causal diamonds alone imply global hyperbolicity, so the causality condition can be dropped from the definition.
Discussion (0). Continue with ORCID to comment.