Explaining the equation of gravitational time dilation

[Ahmed Samra]

Can you explain to me the equation? Because I can't understand it

 

[Nugatory]

Can you explain to me the equation? Because I can't understand it

If you could write down the equation that you say you don't understand, and ideally say what you don't understand about it, you'll get a more helpful answer.

 

[Ahmed Samra]

Is this the right equation for calculating the gravitational time dilation? http://genesismission.4t.com/Physics/gtd.htm

 

[micromass]

Please use this thread: https://www.physicsforums.com/showthread.php?t=682877

 

[sardar]

Sure, I'd be happy to explain the equation of gravitational time dilation. First, let's break down the equation into its individual components:

1. Δt: This represents the change in time, or the difference in time between two events.

2. t0: This is the time measured by an observer in a reference frame far from any gravitational field. This is often referred to as "proper time."

3. GM: This term represents the product of the universal gravitational constant (G) and the mass (M) of the object causing the gravitational field.

4. c²: This is the speed of light squared, a fundamental constant in physics.

5. r: This represents the distance from the center of the gravitational field to the observer.

Now, putting these components together, we get the equation for gravitational time dilation:

Δt = t0√(1 - (GM/rc²))

This equation shows that the change in time (Δt) between two events is related to the proper time (t0) by a factor that is affected by the gravitational field. The closer an observer is to a massive object, the greater the effect of the gravitational field on time, resulting in a larger time dilation.

In simpler terms, this equation helps us understand how the force of gravity can affect the passage of time. The closer an object is to a massive body, such as a planet or star, the slower time will pass for that object compared to an observer in a less gravitational field.

I hope this explanation helps you understand the equation of gravitational time dilation better. If you have any further questions, please don't hesitate to ask.