All Questions
5
questions
4
votes
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Foundational considerations in definition of Newtonian Spacetime
My doubt comes from lecture 08 on Theoritische Mechanik by Frederic Schuller.
He gives definition of Newtonian Space time as followg:
A Newtonian Spacetime is a quintuple of structures $(M,\mathcal{O}...
2
votes
2
answers
462
views
Newtonian gravity as curvature of space
Since Newtonian gravity is also indistinguishable from acceleration, it should be possible to formulate it as a curvature in space, right? For example, if a body changes velocities purely under the ...
3
votes
1
answer
208
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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 ...
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 ...
3
votes
4
answers
597
views
Contravariant metric in Newton-Cartan spacetime
I'm interested in the geometrized Newtonian gravitation or Newton-Cartan theory. In every reference that I have found begins saying that a Newton-Cartan spacetime is a manifold $M$ with some ...