An observer atop a tower of 10m on Earth sends a signal towards the base of the tower every second according to his clock. The gravitational field corresponds to the metric.
An observer on the ground receives the signals on what interval?
The Attempt at a Solution
Since the signals are sent at the same place (x=0,y=0,z=10), the metric atop the tower for these events is
But what is dt, what is dtau exactly? How do they relate to the 1 second interval? Is dtau supposed to be the same for both observer or something?