Non-existence of stationary,axisymmetric dust solutions of Einstein's equations on spatially compact manifolds |
| |
Institution: | Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 74 Tübingen, FRG;Hindustani Kendriya Vidyalaya, Guwahati-781005, Assam, India |
| |
Abstract: | By using a theorem on the classifacation of SO(2)-actions on three-dimensional manifolds, it is shown that axisymmetric, stationary solutions of Einstein's equations do not exist on spacetimes with compact, space-like hypersurfaces, provided that the energy-momentum tensor is trace-free in the two-dimensional space of trajectories. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|