Recent content by max_zhou

Ah, I see. Thank you!

So we can only first solve the geodesic equation first, then to calculate the `gravity acceleration`? I take this as implicit relationship. Is it possible to give an explicit form of the relationship between the gravity acceleration and the metric tensor? By explicit, I mean some formula that...

Thanks for the reply! Let us say we have a spaceship that is stationary at a location, and we do the free falling experiment in the spaceship. Let us say the falling distance is h, and the falling time is dt. Because spaceship is very small in a slightly curved spacetime, like the earth, I think...

Thank everyone for the discussion so far. I should have clarified my question. My bad. So my question is, let us say we have known the metric tensor distribution, and I want to calculate the corresponding gravity force distribution (magnitude and direction of gravity at every point). The...

I am still learning general relativity (GR). I know we can find the path of a test particle by solving geodesic equations. I am wondering if it is possible to derive/convert metric tensor to gravity, under weak approximation, and vice versa. Thanks!

Thank you, Peter! I also found the mathpages.com page you mentioned in that thread. I would mark you answer as the correct answer if I could. I will return after I have enough training in understanding the two papers.

Sorry. I mis-interpreted your response. I think I will come back to this question in the future. I would hope we could have a solution for this scenario.

I see. I guess I cannot be satisfied with the answer that my scenario cannot work in a GR sense until I have a real understanding of GR.

Fair corrections.

Thank you, Peter! I guess I can only learn how to reframe my question after learning more about GR. But I would intuitively think my question could be somehow decomposed and consumed in GR and has a simple answer...

Thank everyone for the discussion so far. I found a paper: https://core.ac.uk/download/pdf/25331744.pdf . From this paper, the conclusion is a uniform gravity corresponds to a non-zero curvature. I will understand it better after learning more about general relativity.

Will take a careful look later. Thanks!

Fair enough. Looks like it is not straightforward to transfer a question from Newton's world to Einstein's world. I would like to change the level tag. But do not know how...

Thank you!

Good point. The scenario you described is one of follow-up question I want to follow up. In my question, I take the 'pseudo gravity' due to acceleration as a gravity field. But my original question scenario would be more like, in an ideal world, there is an infinite slab, the gravity due to...