Transverse frames for Petrov type I spacetimes: a general algebraic procedure

Details Transverse frames for Petrov type I spacetimes: a general algebraic procedure Transverse frames for Petrov type I spacetimes: a general algebraic procedure

2002-12-05

arxiv.org/abs/gr-qc/0212027v1

Gen.Rel.Grav. 35 (2003) 1351-1363

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, submitted to Classical Quantum Gravity

Scientific paper

We develop an algebraic procedure to rotate a general Newman-Penrose tetrad in a Petrov type I spacetime into a frame with Weyl scalars $\Psi_{1}$ and $\Psi_{3}$ equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov Type I spacetime, setting $\Psi_{1}$ and $\Psi_{3}$ to zero makes apparent the superposition of a Coulomb-type effect $\Psi_{2}$ with transverse degrees of freedom $\Psi_{0}$ and $\Psi_{4}$.

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