A note on stability and Cauchy time functions
Abstract
Since the solution of the so-called folk problems of smoothability, there has been a special interest in the properties of classical time and volume functions of spacetimes. Here we supply some information that complements the one provided in arXiv:1108.5120v3 and arXiv:1301.2909v1, and discuss some results. As an illustration, we show that any Cauchy temporal function for a globally hyperbolic spacetime remains Cauchy temporal for close metrics ---which, in particular, implies stability for global hyperbolicity.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2013
- DOI:
- 10.48550/arXiv.1304.5797
- arXiv:
- arXiv:1304.5797
- Bibcode:
- 2013arXiv1304.5797S
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- This note has been withdrawn because its contents have been included and expanded in arXiv:1808.04412 [gr-qc]