How does the GR field equation reduce to Newton's law of gravity?

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SUMMARY

The discussion centers on the derivation of how Einstein's General Relativity (GR) equations reduce to Newton's law of gravity. Participants provide resources, including Lecture 10 from Oxford and Chapter 24 from Caltech, which detail this transition. A link to the Wikipedia page on Einstein field equations is also shared, emphasizing the correspondence principle. These resources collectively illustrate the mathematical framework necessary to understand this fundamental relationship in physics.

PREREQUISITES
  • Understanding of Einstein's field equations in General Relativity
  • Familiarity with Newtonian gravity concepts
  • Basic knowledge of differential geometry
  • Ability to interpret mathematical proofs and derivations
NEXT STEPS
  • Study the derivation of Einstein's field equations from first principles
  • Explore the correspondence principle in detail
  • Review differential geometry applications in physics
  • Examine the historical context of the transition from Newtonian to relativistic gravity
USEFUL FOR

Students of physics, educators in gravitational theory, and anyone interested in the mathematical foundations of General Relativity and its relation to classical mechanics.

Geezer
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I've never taken a class on GR, but I've been looking at books on the subject.

Clearly, Einstein's equations for GR must reduce to Newton's law of gravity, but how? I haven't seen it worked out anywhere. Can someone send me a link, or show a proof or derivation?

Like I said, it's not homework or anything; I'm just interested in seeing how it's done.

Thanks,
Geez
 
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Lecture 10 http://people.maths.ox.ac.uk/~nwoodh/gr/index.html

Chapter 24 http://www.pma.caltech.edu/Courses/ph136/yr2006/text.html
 
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