de.mpg.escidoc.pubman.appbase.FacesBean
English

# Item

ITEM ACTIONSEXPORT
Cosmological time versus CMC time I: Flat spacetimes

Andersson, L., Barbot, T., Beguin, F., & Zeghib, A. (n.d.). Cosmological time versus CMC time I: Flat spacetimes.

Item is

### Basic

show hide
Genre: Journal Article

### Files

show Files
hide Files
:
0604486.pdf (Preprint), 281KB
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
-
eDoc_access: PUBLIC
-

show

### Creators

show
hide
Creators:
Barbot, Thierry, Author
Beguin, Francois, Author
Zeghib, Abdelghani, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012

### Content

show
hide
Free keywords: -
Abstract: This paper gives a new proof that maximal, globally hyperbolic, flat spacetimes of dimension \$n\geq 3\$ with compact Cauchy hypersurfaces are globally foliated by Cauchy hypersurfaces of constant mean curvature, and that such spacetimes admit a globally defined constant mean curvature time function precisely when they are causally incomplete. The proof, which is based on using the level sets of the cosmological time function as barriers, is conceptually simple and will provide the basis for future work on constant mean curvature time functions in general constant curvature spacetimes, as well for an analysis of the asymptotics of constant mean foliations.

### Details

show
hide
Language(s):
Dates:
Publication Status: Not specified
Pages: -
Publishing info: -
Rev. Method: -
Identifiers: eDoc: 271923
Degree: -

show

show

show

show