All Questions
6
questions
3
votes
2
answers
107
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References on Newton-Cartan Gravity
I'm interested in learning a bit about Newton-Cartan gravity, and I would like some references on the topic. I am already familiar with differential geometry and general relativity, so those could be ...
0
votes
0
answers
44
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Derivative of Ricci tensor and Euler-Lagrange equations ambiguity
I'm currently working in a problem about formulating a Lagrangian for Newton-Cartan theory and i'm currently proving if it works.
In order to do this i'm required to compute the derivative of the ...
- 309
3
votes
1
answer
208
views
Attemp to encode newtonian gravitation as 3-dimensional space curvature
In lecture 9 of this series of lectures, Professor Frederic Schuller (around time 24:00) is trying to answer the question about the possibility to interpret newtonian gravity as a three-dimensional ...
- 1,290
2
votes
2
answers
466
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Why isn't general relativity equivalent to Newtonian gravity?
I know this question may seem a bit laughable, but the way the equations for general relativity are formed is through Poisons equation:
$$\nabla^2\phi=4 \pi G \rho$$
Which are formed using Newton's ...
- 775
7
votes
1
answer
198
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Are there good reasons why special relativity should motivate geometrised gravity in a way that Newtonian mechanics does not?
I have studied a bit of Newton Cartan theory recently, the geometrised version of Newtonian gravity in which gravity is due to the curvature of spacetime, but is Newtonian (simultaneity is absolute).
...
- 591
3
votes
2
answers
1k
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GR: What is the curved spacetime analogue of Newton 2nd law?
I am following Carroll, he states that the geodesic equation is the the generalization to curved spacetime $\vec f = m \vec a$, for $\vec f = \vec 0$. This leads me to wonder what is the correct to ...
- 1,356