Abstract
This work shows how the equations which relate the Lanczos potential Kijr to the conformal tensor Cabpq, can be structured in a simple form when written in terms of the formalism proposed by Geroch-Held-Penrose. As working examples, we present the immediate construction of Kijk for any spacetime with Petrov type O, N or III. Our findings are in good agreement with already published results, which indicates a relationship between the spin coefficients and the Lanczos spintensor onto the canonical tetrad.
Original language | English |
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Pages (from-to) | 901-909 |
Number of pages | 9 |
Journal | Czechoslovak Journal of Physics |
Volume | 52 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2002 |
Keywords
- Generator for the Weyl tensor
- Geroch-Held-Penrose formalism
- Lanczos spintensor