2013/04/21 by Miguel Sánchez, Sánchez, Miguel
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.1304.5797
This note has been withdrawn because its contents have been included and expanded in arXiv:1808.04412 [gr-qc]
openalex publication_date 2013/04/21 · arxiv created 2018/08/15 · arxiv updated 2018/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.