Relative Velocity II: Defining Relative Velocity in GR

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The concept of "Relative Velocity" in General Relativity (GR) is complex and lacks a clear definition due to the curvature of spacetime. In contrast to Special Relativity (SR), where relative velocity can be defined through parallel transport of 4-velocity vectors along a straight path, GR introduces multiple potential paths for this transport. A proposed definition relates relative velocity to the frequency shift of light between two observers, suggesting that the observed frequency change can indicate relative motion. The discussion also highlights challenges in defining relative velocity when observers are at different events in curved spacetime, emphasizing the need for a light ray connecting these events. Ultimately, the conversation seeks to establish a consistent method for understanding relative velocity in GR, particularly through the lens of frequency shifts.
  • #31
Thanks Robphy I'll have a look at that one next time I'm at the uni library.
 

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