CMC foliations of open spacetimes asymptotic to open Robertson-Walker spacetimes
We consider open globally hyperbolic spacetimes N of dimension n + 1, n >= 3, which are spatially asymptotic to a Robertson-Walker spacetime or an open Friedmann universe with spatial curvature (k) over tilde = 0,-1 and prove, under reasonable assumptions, that there exists a unique foliation by...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
11 April 2021
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| In: |
Pure and applied mathematics quarterly
Year: 2021, Volume: 17, Issue: 1, Pages: 269-347 |
| ISSN: | 1558-8602 |
| DOI: | 10.4310/PAMQ.2021.v17.n1.a8 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4310/PAMQ.2021.v17.n1.a8 Verlag, lizenzpflichtig, Volltext: https://www.intlpress.com/site/pub/pages/journals/items/pamq/content/vols/0017/0001/a008/ 
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| Author Notes: | Claus Gerhardt |
MARC
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| 520 | |a We consider open globally hyperbolic spacetimes N of dimension n + 1, n >= 3, which are spatially asymptotic to a Robertson-Walker spacetime or an open Friedmann universe with spatial curvature (k) over tilde = 0,-1 and prove, under reasonable assumptions, that there exists a unique foliation by spacelike hypersurfaces of constant mean curvature and that the mean curvature function tau is a smooth time function if N is smooth. Moreover, among the Friedmann universes which satisfy the necessary conditions are those that reflect the present assumptions of the development of the universe. | ||
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