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- Title
On purely gravito-magnetic vacuum space-times.
- Authors
E. Zakhary; J. Carminati
- Abstract
Abstract It is shown that there are no purely magnetic, vacuum, spacetime metrics where any one of the following conditions holds: (a) the ratio of any two eigenvalues of the Weyl tensor is constant, (b) both of the Riemann principal null directions, defining the time-like blade, are nonrotating, (c) the shear tensor possesses an eigenvector va which is defined by one of the space-like Riemann principal directions, (d) the vorticity is parallel to va, where va is defined by one of the space-like Riemann principal directions.
- Publication
General Relativity & Gravitation, 2005, Vol 37, Issue 3, p605
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-005-0045-8