6533b862fe1ef96bd12c64b5

RESEARCH PRODUCT

Aligned Electric and Magnetic Weyl Fields

Joan Josep FerrandoJuan Antonio Sáez

subject

PhysicsGeneral Relativity and Quantum CosmologyTheoretical physicsPhysics and Astronomy (miscellaneous)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Type (model theory)Invariant (mathematics)Null (physics)General Relativity and Quantum CosmologyHomothetic transformation

description

We analyze the spacetimes admitting a direction for which the relative electric and magnetic Weyl fields are aligned. We give an invariant characterization of these metrics and study the properties of its Debever null vectors. The directions 'observing' aligned electric and magnetic Weyl fields are obtained for every Petrov type. The results on the no existence of purely magnetic solutions are extended to the wider class having homothetic electric and magnetic Weyl fields.

https://doi.org/10.1023/b:gerg.0000046835.03099.b1