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4 votes
1 answer
435 views

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}...
Cathartic Encephalopathy's user avatar
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 ...
Ryder Rude's user avatar
  • 6,365
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 ...
Генивалдо's user avatar
2 votes
2 answers
466 views

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 ...
Joshua Pasa's user avatar
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 ...
A. J. Pan-Collantes's user avatar