Calling Sequences

Parameters

NT      - a null tetrad for the spacetime metric $g$

PT      -  the Petrov type of $g$

W       - (optional) the Weyl tensor of $g$

NP      - (optional) the Newman-Penrose Weyl scalars

options - one or more of the keyword arguments method and output

Description

 • The Newman-Penrose Weyl scalars are a set of 5 complex scalars, labeled ${\mathrm{Ψ}}_{0}$, , and defined by certain components of the Weyl tensor with respect to a given null tetrad in a four dimensional spacetime of signature [1, -1, -1, -1]. Under local Lorentz transformations, the Newman-Penrose Weyl scalars transform among themselves in a natural way. Depending upon the Petrov type of the spacetime it is possible to transform the Newman-Penrose Weyl scalars to one of following normal forms. Below, and are complex scalars.See NPCurvatureScalars, NullTetradTransformation.

Type I.

Type II. ${\mathrm{Ψ}}_{0}$