See attached file for full problem description.
A good approximation to the metric outside the surface of the Earth is provided.
It may be thought of as the familiar Newtonian gravitational potential. Here G is newton's constant and M is the mass of the earth. For this problem o may be assumed to be small.
Imagine a clock on the surface of the Earth at distance R1 from the Earth's center, and another clock on a tall building at distance R2 from the Earth's center. Calculate the time elapsed on each clock as a function of the coordinates time t. Which clock moves faster?© BrainMass Inc. brainmass.com March 4, 2021, 7:49 pm ad1c9bdddf
The solution uses relativity and an approximation metric to calculate the time elapsed on a clock.