Gravito-magnetic vacuum spacetimes: kinematic restrictions

Details Gravito-magnetic vacuum spacetimes: kinematic restrictions Gravito-magnetic vacuum spacetimes: kinematic restrictions

2003-03-12

arxiv.org/abs/gr-qc/0303049v1

Class.Quant.Grav. 20 (2003) 2835-2840

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 0 figures

Scientific paper

10.1088/0264-9381/20/13/328

We show that there are no vacuum solutions with a purely magnetic Weyl tensor with respect to an observer submitted to kinematic restrictions involving first order differential scalars. This result generalizes previous ones for the vorticity-free and shear-free cases. We use a covariant approach which makes evident that only the Bianchi identities are used and, consequently, the results are also valid for non vacuum solutions with vanishing Cotton tensor.

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