Inertial reference frames

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SUMMARY

This discussion focuses on the creation of local inertial reference frames within gravitational fields, specifically in the context of general relativity. It establishes that a local inertial reference frame can be constructed either by using a small frame close to the source of curvature of space-time or a large frame positioned far from it. The conversation raises the question of whether a quantitative relationship exists between the mass/size of the reference frame and its distance from the curvature source, noting that while such a relationship is not readily available, it can be calculated with sufficient ambition.

PREREQUISITES
  • Understanding of general relativity principles
  • Familiarity with concepts of curvature in space-time
  • Knowledge of inertial reference frames
  • Basic mathematical skills for calculations in physics
NEXT STEPS
  • Research the mathematical framework of general relativity
  • Explore the concept of curvature in space-time
  • Study the implications of mass on local inertial frames
  • Investigate how to calculate gravitational effects on reference frames
USEFUL FOR

Physicists, students of general relativity, and anyone interested in the implications of mass and curvature in gravitational fields will benefit from this discussion.

kurious
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I can make a local inertial reference frame in a gravitational field by creating a frame that is small but close to the source of curvature of space-time.
Alternatively I can make a local inertial reference frame by creating a frame that is large but a long distance from the source of curvature of space-time.
If the reference frame has a mass, is there a quantitative relationship in general relativity between the mass/size of the frame and its distance from the source of curvature of space-time?
 
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If the reference frame has a mass, then it IS a source of curvature, and cannot be separated from that.
 
kurious said:
I can make a local inertial reference frame in a gravitational field by creating a frame that is small but close to the source of curvature of space-time.
Alternatively I can make a local inertial reference frame by creating a frame that is large but a long distance from the source of curvature of space-time.
If the reference frame has a mass, is there a quantitative relationship in general relativity between the mass/size of the frame and its distance from the source of curvature of space-time?

Not one that is readily available but if one is ambitious it can be calculated. I'm not that ambitious though. :-)

Pete
 

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