Here we employ the Newman-Penrose formalism to obtain the Lanczos potential for some metrics of interest in general relativity.

Here we employ the Newman-Penrose (NP) technique (Newman and Penrose,1962; Cambell and Wainwright,1977; and Kramer et al., 1980) to obtain K_abc for several gravitational fields.

Here, we obtain the Lanczos spintensor for some well known spacetimes, which is equivalent to solve Equation 22 for a given geometry. In the following, we write the null tetrad for each case, and only when it is necessary we show some spin coefficients; knowing

Physics Journal, Lanczos Spintensor, Newman-Penrose Formalism, Weyl-Lanczos Equations, Conformal Tensor, Gravitational Fields, Spherical Gravitational Waves, Gravitational Plane Waves, Kaigorodov Metric, Riemann Tensor.