On the Weyl transverse frames in type I spacetimes

Details On the Weyl transverse frames in type I spacetimes On the Weyl transverse frames in type I spacetimes

2004-09-16

arxiv.org/abs/gr-qc/0409064v1

Gen.Rel.Grav. 37 (2005) 1015-1024

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, submitted to Gen. Rel. Grav. (6-3-2004)

Scientific paper

10.1007/s10714-005-0087-y

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.

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