Future geodesic completeness of some spatially homogeneous solutions of the 
vacuum Einstein equations in higher dimensions

Goedeke, Arne; Rendall, Alan D.

doi:10.1088/0264-9381/27/15/155019

Datensatz

DATENSATZ AKTIONENEXPORT

Zur Ablage hinzufügen

Lokale TagsFreigabegeschichteDetailsÜbersicht

Freigegeben

Zeitschriftenartikel

Future geodesic completeness of some spatially homogeneous solutions of the vacuum Einstein equations in higher dimensions

MPG-Autoren

Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Externe Ressourcen

Es sind keine externen Ressourcen hinterlegt

Volltexte (beschränkter Zugriff)

Für Ihren IP-Bereich sind aktuell keine Volltexte freigegeben.

Volltexte (frei zugänglich)

1002.1851
(Preprint), 201KB

CQG10_15_155019.pdf
(beliebiger Volltext), 137KB

Ergänzendes Material (frei zugänglich)

Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar

Zitation

Goedeke, A., & Rendall, A. D. (2010). Future geodesic completeness of some spatially homogeneous solutions of the vacuum Einstein equations in higher dimensions. Classical and quantum gravity, 27(15): 155019. doi:10.1088/0264-9381/27/15/155019.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0012-6590-1

Zusammenfassung

It is known that all spatially homogeneous solutions of the vacuum Einstein
equations in four dimensions which exist for an infinite proper time towards
the future are future geodesically complete. This paper investigates whether
the analogous statement holds in higher dimensions. A positive answer to this
question is obtained for a large class of models which can be studied with the
help of Kaluza-Klein reduction to solutions of the Einstein-scalar field
equations in four dimensions. The proof of this result makes use of a criterion
for geodesic completeness which is applicable to more general spatially
homogeneous models.