Lanczos Potential and Perfect Fluid Spacetimes

Abstract

Using method of general observers and the spin coefficient formalism of Newman and Penrose, the Lanczos potential has been studied for perfect fluid spacetimes.

Petrov Type D Spacetimes and Lanczos Potential

“…In 1962 Lanczos proved the existence of the tensor L ijk as a potential to the Weyl tensor C ijkl , since then this potential has attracted the attention of a number of workers (cf., [2][3][4][5][6][7][8], [10][11][12][13][14][15][16][17][18][19][20], [22][23], [25], [27][28], [31][32][33]). The list of workers in this particular field is very large, here we have mentioned only few (for a detailed discussion of Lanczos potential , see [1]).…”