Non-existence of stationary, axisymmetric dust solutions of Einstein's equations on spatially compact manifolds
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.
- Publication:
-
Physics Letters A
- Pub Date:
- February 1987
- DOI:
- 10.1016/0375-9601(87)90710-9
- Bibcode:
- 1987PhLA..120..119F