How Can Numerical Solutions to General Relativity Enhance Computational Physics?

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Hello could someone give some info about the "Numerical solution" to GR...is this a field of "Computational Physics"?..

- What i know is that you take the Hyper-surface, and you " split " it into triangles..and use the ¿angles? of every triangle as finite-coordinates..then you get a problem with finite degrees of freedom...but What happens with the metric, Riemann Tensor Energy-momentum tensor in this discrete space-time?..could you use discrete espace but continuous time so the usual Einstein Lagrangian becomes a finite one in the form:

L(q_i ,\dot q_i ,t) so it's easier to "Quantize" than the continuous one?..

- Main questions: how do you define g_{ab} R_{ab} and other quantities into a finite "triangularized" surface..thanks :rolleyes: :rolleyes:
 
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Look up "Regge Calculus".
 
robphy said:
Look up "Regge Calculus".

I was afraid of this answer... :cry: :cry: i have looked it up in "Wikipedia" and "Arxiv.org" but i don't see or can't understand the explanation...or how you recover the Riemann Tensor in the end...
 
I asked a question here, probably over 15 years ago on entanglement and I appreciated the thoughtful answers I received back then. The intervening years haven't made me any more knowledgeable in physics, so forgive my naïveté ! If a have a piece of paper in an area of high gravity, lets say near a black hole, and I draw a triangle on this paper and 'measure' the angles of the triangle, will they add to 180 degrees? How about if I'm looking at this paper outside of the (reasonable)...
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