Gravity: Warping of Space or Force?

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SUMMARY

Gravity, according to Einstein's Theory of General Relativity (GR), is defined as the warping of space-time rather than a traditional force. Mass traveling through this warped space follows geodesics, which may appear curved in three-dimensional space. Both the curvature of time and space can be interpreted in ways that resemble forces, but the space curvature cannot be directly modeled as a force. Einstein's model provides superior predictions for phenomena such as gravitational time dilation and light bending compared to Newton's model.

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  • Understanding of Einstein's Theory of General Relativity (GR)
  • Familiarity with geodesics in curved space-time
  • Knowledge of gravitational time dilation
  • Basic concepts of inertial and fictitious forces
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  • Explore the implications of gravitational time dilation in real-world scenarios
  • Study the mathematical framework of Christoffel symbols in General Relativity
  • Investigate the differences between Newtonian gravity and Einstein's model
  • Learn about the Riemann curvature tensor and its applications in physics
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messysmurf
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Gravity, as defined by Einstienien Theory, is a warping of space. And any mass traveling through space will take the path of least inertial resistance, ie not necessarily a straight line, dependent on that warping of space. So, is gravity a force, or just an expression of warped space, that happens to influence matter passing through it?
 
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See this thread: https://www.physicsforums.com/showthread.php?t=207078

I'll quote the last post.

The best short answer is that both views are basically correct. Speaking rather loosely, given a particular coordinate system, the curvature of space-time can be reduced to a "curvature of time" and a "curvature of space". (For the more expert here, we are using the popular term "curvature" to describe the Christoffel symbols, and not the Riemann curvature tensor, and the above classification is slightly oversimplified).

The "time curvature" part of GR introduces both gravitational time dilation, and acts mathematically in the equations of motion (the geodesic equation) just as if it were a force.

The "space curvature" part of GR cannot, however, be directly modeled as a force.

So the space-time curvature model is a more complex model than a force model, because it includes ideas that can be interpreted as forces, and ideas that cannot be directly modeled only by forces.
 
messysmurf said:
Gravity, as defined by Einstienien Theory, is a warping of space.
Space-time not just space.

messysmurf said:
And any mass traveling through space will take the path of least inertial resistance, ie not necessarily a straight line, dependent on that warping of space.
A free falling object travels on straight paths (geodesics) in wrapped space-time, which might look curved when projected onto space.

messysmurf said:
So, is gravity a force, or just an expression of warped space, that happens to influence matter passing through it?
Both models can be used to describe the common effect of mass attraction. But Einstein's model predicts some effects like light bending better than Newton's model, and gravitational time dilation which Newton doesn't predict at all.

Also note that even in Einsteins model you can treat gravity as a force, but unlike in Newton's model it is an inertial force due to an accelerated reference frame, not an interaction force:
http://en.wikipedia.org/wiki/Fictitious_force

But if you model the accelerated reference frame with distorted coordinates, instead of inertial forces, then indeed there is no "force of gravity". And free falling a objects follow a straight path as shown in this animation:

https://www.youtube.com/watch?v=DdC0QN6f3G4
 

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