Physics
Scientific paper
Mar 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37..605z&link_type=abstract
General Relativity and Gravitation, Volume 37, Issue 3, pp.605-613
Physics
2
Vacuum Magnetic Spacetimes, Weyl Tensor, Null Direction
Scientific paper
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.
Carminati John
Zakhary E.
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