- #1

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thanks!

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- Thread starter menniandscience
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- #1

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thanks!

- #2

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- #3

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On a slightly philosophical note, this is true of all scientific theories on some level. For example, Newton's theory of gravity simply says that masses exert a force on one another, but it doesn't say how they do it.

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I am not sure if you are asking "how" or "why". How mass (stress energy) curves space is described by the Einstein field equation. But why that equation rather than some other one is not.how does the mass (of the sun for example) makes the space curved?

- #5

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but i dont understand why this "geometrical" explanation is a replacement for the gravity.

Newton's gravitation law ##F=G\frac{mM}{r^2}## ,dividing by m, ##\frac{F}{m}=G\frac{M}{r^2}=a##.

any m around M receive the same acceleration a. Thus M generate acceleration field around itself.

As deriving Maxwell's equation from Coulomb's law in electromagnetism, this relation is expressed as ## div\ a=4\pi G\rho ## where ##\rho## is mass density.

So in non relativistic mechanics already mass (density) generates ## div\ a## which is a kind of geometry.

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@sweet springs You may want to look into Newton Cartan gravity. It is a geometrized version of Newtonian gravity along the lines of what you mention, but correctly formalized.

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- #7

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Thanks for information. I will try.

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It seems you are unconsciously using concepts of Newtonian theory into Einstein's theory.does that mean that - mass attracts space , and space attracts mass, but mass does not attract mass as such ?

Note that in Einstein's theory, it doesn't make sense to talk about attraction in the way you seem to be thinking of. Gravity is, in Einstein's theory, the curvature in the underlying space-time which is the framework for the mathematical part of the theory, and that's it.

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