Transverse Frames for Petrov Type I Spacetimes: A General Algebraic Procedure

@article{Re2003TransverseFF,
  title={Transverse Frames for Petrov Type I Spacetimes: A General Algebraic Procedure},
  author={Virginia Re and Marco Bruni and David R. Matravers and Frances White},
  journal={General Relativity and Gravitation},
  year={2003},
  volume={35},
  pages={1351-1363}
}
We develop an algebraic procedure to rotate a general Newman-Penrose tetrad in a Petrov type I spacetime into a frame with Weyl scalars Ψ1 and Ψ3 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 Ψ1 and Ψ3 to zero makes apparent the superposition of a Coulomb-type effect Ψ2 with transverse degrees of freedom Ψ0 and Ψ4. 
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