6533b825fe1ef96bd128333f

RESEARCH PRODUCT

On the Weyl transverse frames in type I spacetimes

Joan Josep FerrandoJuan Antonio Sáez

subject

PhysicsPhysics and Astronomy (miscellaneous)SpacetimeFrame (networking)Root (chord)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Type (model theory)General Relativity and Quantum CosmologyExpression (mathematics)General Relativity and Quantum CosmologyTransverse planeSimple (abstract algebra)Covariant transformationMathematical physics

description

We apply a covariant and generic procedure to obtain explicit expressions of the transverse frames that a type I spacetime admits in terms of an arbitrary initial frame. We also present a simple and general algorithm to obtain the Weyl scalars $\Psi_2^T$, $\Psi_0^T$ and $\Psi_4^T$ associated with these transverse frames. In both cases it is only necessary to choose a particular root of a cubic expression.

https://doi.org/10.1007/s10714-005-0087-y