Lanczos potential for the Gödel spacetime

Lanczos Potential and Perfect Fluid Spacetimes

“…Moreover, using the spinor form of Ricci identities, an ansatze for the Lanczos potential in a general spacetime has been given by Illge [32]. Recently, using the methods of local and isometric embedding, Lovelock's theorem and wave equations, the Lanczos potential for Gödel spacetime has been obtained by Ahsan et al [5][6][7], while using GHP-formalism [26], the Lanczos potential for Petrov type D spacetimes, which in turn leads to a solution of Weyl-Lanczos equations, has been studied by Ahsan et al [3] and Ahsan and Bilal [8].…”

“…The Lanczos potential for Gödel spacetime has been obtained in Sect. 6 and it is found that the Lanczos scalars depends upon the parameter that is responsible for the vorticity (rotation) of the fluid. Finally, Sect.…”

A Solution of Weyl-Lanczos Equations for Arbitrary Petrov Type D Vacuum Spacetimes

“…R ij = R k ij k , R= g ij R ij (6) The irreducible tensor C hij k is the Weyl tensor and satisfies the same algebraic properties as that of the Riemann curvature tensor and is completely trace-less.…”