On purely gravito-magnetic vacuum space-times

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Zakhary, Emil and Carminati, J (2005) On purely gravito-magnetic vacuum space-times. General Relativity and Gravitation, 37 (3). pp. 605-613. ISSN 0001-7701

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.

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Additional Information	Online ISSN: 1572-9532
Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/8121
DOI	10.1007/s10714-005-0045-8
Official URL	http://dx.doi.org/10.1007/s10714-005-0045-8
Subjects	Historical > FOR Classification > 0201 Astronomical and Space Sciences Historical > FOR Classification > 0203 Classical Physics Current > Division/Research > VU College
Keywords	ResPubID22172. vacuum magnetic spacetimes, Weyl tensor, null direction
Citations in Scopus	6 - View on Scopus
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