On Proper Time in General Relativity

Abstract

It is shown how the relation $ds=cd\tau$ between the proper distance $s$ and the proper time $\tau$ is obtained in general relativity. A general relation in curved spacetime between $d\tau$ and $dt$ is given. This relation reduces to the special relativistic one for flat spacetime.

This paper was written in a rush when M. O. Taha was very sick. Proper Time was defined erroneously in the original submission. The revised version does not have anything new and the paper is to be withdrawn