Gravitational Time Dilation

talksabcd

I am having difficulty understanding the Gravitational Time dilation formula. As per my understanding, clock should run faster as we move away from the gravitational field. But when I am applying the formula, I am getting the opposite result. Please see the attached formula.

As r increases , t0 would be nearing to tf. So at r = infinity, t0 = tf.

So as r is increasing , difference between t0 and tf is decreasing but I am expecting it to be opposite. Am I missing something ?

Attached Thumbnails

 

Kurdt

As the radius of the observer in the gravitational field increases his observed time gets closer to that of the observer outside the gravitational field until the point where hes infinitely far away both times are equal.