A note on proper affine vector fields in non-static plane symmetric space-times

G. Shabbir1

Abstract

The most general form of non-static plane symmetric space-times is considered to study proper affine vector fields by using holonomy and decomposability, the rank of the 6 ×6 Riemann matrix and direct integration techniques. Studying proper affine vector fields in each nonstatic case of the above space-times it is shown that very special classes of the above space-times admit proper affine vector fields. We also discuss the Lie algebra in each case.

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