6533b873fe1ef96bd12d4c89

RESEARCH PRODUCT

Gravito-magnetic vacuum spacetimes: kinematic restrictions

Juan Antonio SáezJoan Josep Ferrando

subject

PhysicsWeyl tensorPhysics and Astronomy (miscellaneous)Cotton tensorFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)KinematicsFirst orderObserver (physics)General Relativity and Quantum Cosmologysymbols.namesakeGeneral Relativity and Quantum CosmologysymbolsCovariant transformationDifferential (mathematics)Mathematical physics

description

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.

yearjournalcountryeditionlanguage
2003-03-12
10.1088/0264-9381/20/13/328http://arxiv.org/abs/gr-qc/0303049