Petrov Type D Spacetimes and Lanczos Potential

Zafar Ahsan; Bilal .; Musavvir Ali

doi:10.56424/jts.v11i01.10580

Zafar Ahsan Department of Mathematics, Aligarh Muslim University, Aligarh (India)
Bilal . Department of Mathematics, Faculty of Applied Sciences, Umm Al Qura University, Makkah, Kingdom of Saudi Arabia.
Musavvir Ali Department of Mathematics, Aligarh Muslim University, Aligarh (India)

DOI: https://doi.org/10.56424/jts.v11i01.10580

Keywords: .

Abstract

Using the Newman-Penrose formalism, the Lanczos potential for Petrov type D spacetimes has been found. It is seen that the Lanczos scalars can be expressed in terms of the spin-coefficients. The non-uniqueness character of the Lanczos potential has been established and a possible justification to the name “the Lanczos potential” is given