On some structure results for Godel-type spacetimes

JOURNAL OF GEOMETRY AND PHYSICS

卷:110

Article

Plaue, Matthias¹  Scherfner, Mike² 

[1] Mapegy GmbH, Bismarckstr 10-12, D-10625 Berlin, Germany

[2] Bochum Univ Appl Sci, Inst Math Technol & Its Didact, Lennershofstr 140, D-44801 Bochum, Germany

关键词: Godel-type spacetimes;    Charged perfect fluid solutions;    Einstein-Maxwell equations;    Stationary and spatially homogeneous spacetimes;    Riemannian manifolds with constant principal Ricci curvatures;   

DOI  :  10.1016/j.geomphys.2016.09.007

来源: Elsevier

【 摘 要 】

In this paper, we prove structure results on Godel-type spacetimes, which we understand as stationary charged perfect fluid solutions of the Einstein-Maxwell equations with geodesic flow. Given in a standard product form, we investigate relations between the vorticity and the geometry of the fiber. For the four dimensional case in particular, we classify the Godel-type spacetimes with constant vorticity scalar. We give a complete list of the solutions, which provides a generalization of an observation by Godel, proved later by Ozsvath: The Godel spacetime and Einstein's static universe are the only stationary A-dust solutions of Einstein's equations with positive energy density that are spatially homogeneous. (C) 2016 Published by Elsevier B.V.

【 授权许可】

Free