Lanczos potential for some non-vacuum spacetimes
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, India
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Accepted: 5 September 2016
Published online: 26 September 2016
The Lanczos potential is a general relativity analogue of potential in electrodynamics. This potential can be obtained by solving Weyl-Lanczos relations. This computation is easy in the case of vacuum spacetimes and/or spacetimes of particular Petrov type, while obtaining the Lanczos potential for arbitrary spacetime is very difficult. In this paper, we have obtained the Lanczos potential for non-vacuum spacetimes: Vaidya spacetime and Van Stockum spacetime (which is not of any Petrov type).
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016