Undergrad What is the proper time of a vertically moving inertial clock?

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The discussion focuses on calculating the round trip elapsed proper time of a clock moving vertically in a Schwarzschild geometry, specifically under the influence of gravity without any propulsion. The user seeks an equation to determine this time for a clock that ascends to apogee and returns, maintaining inertial motion throughout. References to relevant calculations and papers are provided to aid in understanding the problem. The inquiry highlights the complexities of gravitational effects on time measurement in general relativity. The conversation emphasizes the need for a clear mathematical approach to this scenario.
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What is the elapsed proper time of vertically moving inertial clock in Schwarzschild geometry?
Hi. I am looking for an equation for the round trip elapsed proper time of a clock that is initially moving vertically straight up with a given initial velocity, reaches apogee and then returns to the starting location under gravity. I would like to use the external Schwarzschild geometry of a non rotating black hole to keep things as simple as possible. At all times during the the experiment the clock is moving inertially, so no rockets or thrusters involved (and no horizontal motion allowed).
 
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Is there any reason you can't do the calculation yourself?
 
PeroK said:
Is there any reason you can't do the calculation yourself?
Getting too old, I guess... :confused:
 

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