So, thanks to everyone for the informative replies. I have looked through this forum and other sources for more information about the points you have made.
I just want to be sure I understand the what non-static spacetime is and its implications wrt gravitational potential (which I am calling...
Well, that is bad on physics. One of the most important terms in the science has several different meanings?
This effectively means that "gravitational time dilation" is a poor term in and of itself, since it is unclear which of the several meanings of gravity is being referred to...
I don't see any... Here is what I see in post 7:
I am looking for an example where the gravitational potential at a location would not match the free-fall velocity of a particle in that same location, or where the time dilation at that location does not match that indicated by the associated...
Well, I have heard it phrased that way.
It it trying to capture the notion that gravity is not a true force, but rather a result of the gradient of the time dilation (space-time dilation, but really it is time dilation that causes the movement).
Interesting, so when applying the Einstein field equations to these spacetimes you could obtain a gravitational potential that would not match the time dilation for particular location in the field?
Or perhaps you mean the gravitational potential and gravitational velocity would not longer...
I am going to call this sloppy wording, which was part of my point that "gravitational velocity" is a misnomer. But you are not alone in this regard.
Gravity is something specific and it is measured in m/s2. When you ask what is the gravity on this or that planet, you are going to be given a...
Yes, I saw that and I am reading this document.
I would be curious to have an example where the symmetries are lacking, so to speak. What is the situation that breaks this waterfall model?
Ah, I disagree with this.
You need to know more than just the gravity to determine time dilation.
For example, if I told you I have two planets that both have 10 m/s2 gravitational acceleration at the surface, which is the amount of gravity, you could not tell me the time dilation at the...
Thanks for that reference to the waterfall model. I will do some more research on that.
So, basically you are saying there are situations where time dilation is not equal to the velocity of space-time. Interesting, I would be curious to see an example of that. I will try to track one...
The is a question about gravitational time dilation and escape velocity. As others have pointed out, you may use escape velocity to calculate gravitational time dilation in a gravitational field. (Interestingly, you can't use gravity to calculate gravitational time dilation, which makes...