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2 votes
1 answer
201 views

Is the celestial sphere we actually see the Riemann Sphere?

I've been watching a few lectures by R. Penrose where he seems to say that what we see around us is the Riemann sphere. He usually gives the example of an observer floating in deep space or if the ...
Svenn's user avatar
  • 31
0 votes
0 answers
141 views

Question about the geometric structure of Newtonian mechanics

My point here is about the mathematical structure of Classical pre-relativistic physics and general relativity (GR). It became more clearly, after GR, about the fact that pseudo-riemannian are a nice ...
M.N.Raia's user avatar
  • 3,085
5 votes
2 answers
724 views

Why is general relativity a geometric theory?

Please define what is a geometric theory. Also give examples of theories which are not geometric.
Sashwat Tanay's user avatar
9 votes
1 answer
694 views

Can masses move in 2+1 gravity?

I would like to understand basic concepts of the general relativity in 2+1 spacetime. As far as I know, GR predicts that such a spacetime is flat everywhere except for the point masses which create ...
Leos Ondra's user avatar
  • 2,173
1 vote
2 answers
1k views

What is a geometrical object?

From the Wikipedia link for Geometry: Geometry (Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position ...
Larry Harson's user avatar
  • 5,318