What is the equation for gravitational time dilation?

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Discussion Overview

The discussion revolves around the equation for gravitational time dilation, exploring its formulation and implications in various contexts, including standing on different celestial bodies like Jupiter. Participants seek clarification on the equation and its application, as well as examples to illustrate the concept.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants inquire about the specific equation for calculating gravitational time dilation.
  • One participant suggests that time would run slower on Jupiter compared to a distant observer, but questions the relative influences of the Sun and Jupiter.
  • Another participant expresses confusion about the equation and requests an example to aid understanding.
  • There is mention of parameters needed for the equation, such as the gravitational constant, mass of the planet, its radius, and the speed of light.
  • One participant explains the meanings of T (proper time) and To (coordinate time) in the context of gravitational time dilation.
  • Another participant requests clarification on the equation related to a non-rotating sphere.
  • Links to external resources are provided for further information on gravitational time dilation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the equation for gravitational time dilation, and multiple viewpoints and requests for clarification remain present throughout the discussion.

Contextual Notes

Some participants express uncertainty regarding the parameters and definitions involved in the gravitational time dilation equation, indicating a need for further clarification on these aspects.

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
 
You can edit your posts with the edit button.

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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