Proper projective collineation in non-static spherically symmetric space-times

TL;DR

This paper explores the conditions under which non-static spherically symmetric space-times admit proper projective collineations, revealing that such space-times are actually very special classes of static spherically symmetric space-times.

Contribution

It demonstrates that proper projective collineations in non-static spherically symmetric space-times only occur in specific static cases, using direct integration and algebraic methods.

Findings

Proper projective collineations are rare in non-static spherically symmetric space-times.

Such space-times admitting these collineations are essentially static.

The study narrows down the class of space-times with these symmetries.

Abstract

We investigate the proper projective collineation in non-static spherically symmetric space-times using direct integration and algebraic techniques. Studying projective collineation in the above space-times, it is shown that the space-times which admit proper projective collineations turn out to be very special classes of static spherically symmetric space-times.