On purely gravito-magnetic vacuum space-times

Zakhary, Emil and Carminati, John 2005, On purely gravito-magnetic vacuum space-times, General relativity and gravitation, vol. 37, no. 3, pp. 605-613, doi: 10.1007/s10714-005-0045-8.

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Title On purely gravito-magnetic vacuum space-times
Author(s) Zakhary, Emil
Carminati, John
Journal name General relativity and gravitation
Volume number 37
Issue number 3
Start page 605
End page 613
Publisher Plenum Press
Place of publication New York, N.Y.
Publication date 2005-03
ISSN 0001-7701
Keyword(s) vacuum magnetic spacetimes
weyl tensor
null direction
Summary 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.
Language eng
DOI 10.1007/s10714-005-0045-8
Field of Research 010599 Mathematical Physics not elsewhere classified
HERDC Research category C1 Refereed article in a scholarly journal
Persistent URL http://hdl.handle.net/10536/DRO/DU:30003022

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