Centrifugal force from GR perspective

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SUMMARY

The discussion centers on the interpretation of centrifugal force and gravity within the framework of General Relativity (GR). Participants clarify that in GR, both centrifugal force and gravity can be viewed as fictitious forces arising from accelerated reference frames, challenging the traditional Newtonian perspective. The consensus is that gravity is not a "real" force in the same way as centrifugal force, as it can be transformed away in a free-fall frame. The conversation emphasizes the equivalence of gravitational and inertial forces in GR, asserting that both should be considered inertial forces rather than categorizing them as real or fictitious.

PREREQUISITES
  • Understanding of General Relativity (GR) principles
  • Familiarity with Newtonian mechanics and inertial forces
  • Knowledge of the concept of reference frames in physics
  • Basic comprehension of spacetime metrics and geodesic motion
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  • Explore the concept of inertial forces in General Relativity
  • Study the equivalence principle and its implications in GR
  • Learn about the mathematical formulation of affine connections and Christoffel symbols
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Physicists, students of theoretical physics, and anyone interested in the nuances of General Relativity and the nature of forces in different reference frames.

  • #31
yogi said:
CHI Meson - you might want to read Feynman's short expose' on the subject in Volume 1 of his lectures on Physics. He questions whether gravity is a pseudo force like inertia since these forces are always proportional to mass. He ruminates that perhaps gravity is only a pseudo force that results from the fact we do not live in a Newtonian inertial frame.
Thanks, I have read it. This is what my initial viewpoint was primarily based on, and which was countered by the Wikepedia definition that has since been shown to be at fault.

I always turn to Feynman, but it has been over thirty years and a new position could have been solidified since then. I'm glad to know I'm not in the wrong tree (not very high up that tree mind you, but at least it's the right one).
 
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  • #32
I also am a Feynman fan - some years ago I wrote an article based upon Feynman's idea showing that Hubble expansion leads to a divergent volumetric acceleration of magnitude equal to the gravitational constant.
 
  • #33
Fictious or inertial forces are dangerous. They can kill you! They differ from real forces in that they do not occur in action/reaction pairs. F=ma in an inertial frame only. If body A has an acceleration a relative to an inertial frame and body A' has a mass m and an acceleration a' relative to body A. Then for body A' in the inertial frame one has F= m(a+a') . In the accelerated frame, riding A, one has F-ma =ma'. The fictitious force -ma has no reaction partner and is in the opposite direction to the acceleration a. In relativity the acceleration is the covariant derivative of velocity and is made of two pieces: the usual coordinate partials plus a Christoffel piece which accounts for how the coordinate directions change from point to point. As others have said fictitious forces like centrifugal, coriolus, and the Newtonian mg arise from this second piece.
 

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