Solve the below:
Proper time in Schwarzschild metric
Q. Consider a Schwarzchild black hole of mass M=15Ms where Ms is the mass of the sun. Two stationary clocks are on the same radial line, one at r1 = 300GMs and the other at r2 = 10Rs where Rs is the radius of the sun.
(a) If 1000 seconds elapse on the clock at r2, determine the amount of time (in seconds) that will elapse on the clock at r1.
(b) Determine the radial distance between the two clocks. Compare your result to what it would be if the space surrounding this mass were flat.