What is the equation for gravitational time dilation?

Ahmed Samra
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What is the equation for calculating the gravitational time dilation?
 
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As usual, Wikipedia has formulas. And every textbook has them as well.

If I am standing on Jupiter will my time delay?
I think your clock would run a bit slower, but I did not compare the relative influences of Sun and Jupiter. If xkcd did it right, Jupiter dominates.Jupiter does not have a solid surface to stand on, by the way.
 
What is the equation for calculating the gravitational time dilation?
 
Ahmed Samra said:
What is the equation for calculating the gravitational time dilation?
Follow the link in mfb's post !
 
Because I don't understand the equation, so it Weill help me if you just give me an example using the gravitational time dilation equation
 
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Just plug in all parameters (gravitational constant, mass of the planet, its radius, and the speed of light) in the formula, and you get the time dilation on the surface, relative to some observer far away from the planet.
 
T is the proper time between events A and B for a slow-ticking observer within the gravitational field,
To is the coordinate time between events A and B for a fast-ticking observer at an arbitrarily large distance from the massive object (this assumes the fast-ticking observer is using Schwarzschild coordinates, a coordinate system where a clock at infinite distance from the massive sphere would tick at one second per second of coordinate time, while closer clocks would tick at less than that rate), what does this mean? You can find them in the link. What does T and To mean?
 

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