Relative Velocity II: Defining Relative Velocity in GR

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SUMMARY

The discussion centers on defining "Relative Velocity" in General Relativity (GR), highlighting the complexities arising from curved spacetime. Unlike Special Relativity (SR), where relative velocity can be clearly defined through parallel transport of 4-velocity vectors, GR presents multiple potential definitions due to its curvature. The proposal suggests that relative velocity can be derived from the frequency shift of light rays connecting two observers, linking it to redshift phenomena. This approach aims to reconcile Doppler and gravitational redshift concepts within the framework of GR.

PREREQUISITES
  • Understanding of General Relativity (GR) principles
  • Familiarity with 4-velocity vectors and their properties
  • Knowledge of light rays as null geodesics in curved spacetime
  • Concept of redshift, including Doppler and gravitational redshift
NEXT STEPS
  • Study the concept of null geodesics in General Relativity
  • Explore the relationship between frequency shift and relative velocity in GR
  • Investigate the implications of curved spacetime on observer measurements
  • Review Robert Wald's "General Relativity," particularly chapter 6.3 on redshift
USEFUL FOR

Physicists, cosmologists, and students of General Relativity seeking to deepen their understanding of relative motion in curved spacetime and the implications of redshift on observer measurements.

  • #31
Thanks Robphy I'll have a look at that one next time I'm at the uni library.
 

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