Combining SR and GR time dilation

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SUMMARY

The discussion focuses on the combination of time dilation effects from gravitational fields and special relativity. Specifically, Lambda 1 represents time dilation due to gravity, while Lambda 2 denotes time dilation for a moving body under special relativity. The consensus is that these two effects should be combined multiplicatively for a moving particle in a gravitational field, confirming that both Lambda values are greater than or equal to one.

PREREQUISITES
  • Understanding of gravitational time dilation concepts
  • Familiarity with special relativity principles
  • Knowledge of proper time and static observers
  • Basic mathematical skills for combining dilation factors
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Physicists, students of relativity, and anyone interested in the interplay between gravitational fields and special relativity will benefit from this discussion.

taylog1
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Just seeking a bit of guidance if I may ?

If Lambda 1 is the time dilation caused by a gravitational field (ie proper time outside field/proper time inside field for static observers), and Lambda 2 is the usual time dilation under special relativity for a moving body (both lambda's >= 1), how should I combine them for a moving particle in a gravitational field, is is additive, multiplicative or some other combo ?

Regards

Gareth
 
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Welcome to PF!

Hi Gareth! Welcome to PF! :wink:
taylog1 said:
If Lambda 1 is the time dilation caused by a gravitational field (ie proper time outside field/proper time inside field for static observers), and Lambda 2 is the usual time dilation under special relativity for a moving body (both lambda's >= 1), how should I combine them for a moving particle in a gravitational field, is is additive, multiplicative or some other combo ?

Multiplicative. :smile:
 
Thanks very much

Gareth
 

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