What is the mathematical explanation behind red/blue shift caused by gravity?

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SUMMARY

The discussion centers on the mathematical explanation of energy gain and loss for photons traversing gravitational potential differences, specifically addressing gravitational redshift. Participants recommend utilizing Wikipedia's article on gravitational redshift as a foundational resource. The conversation highlights the distinction between energy changes and differing clock rates, particularly in the context of gravitational time dilation.

PREREQUISITES
  • Understanding of gravitational redshift
  • Familiarity with gravitational potential differences
  • Basic knowledge of photon behavior in physics
  • Concept of gravitational time dilation
NEXT STEPS
  • Study the mathematical derivation of gravitational redshift
  • Explore the implications of gravitational time dilation on photon energy
  • Investigate the relationship between clock rates and energy changes in gravitational fields
  • Review advanced physics texts on general relativity and photon dynamics
USEFUL FOR

Physicists, astrophysicists, and students of general relativity seeking to deepen their understanding of gravitational effects on light and energy.

DeG
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Can anyone supply me with the mathematics behind the energy gain/ loss as a photon travels through a gravitational potential difference?
 
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DeG said:
Can anyone supply me with the mathematics behind the energy gain/ loss as a photon travels through a gravitational potential difference?
Good old WP is probably a good place to go at least for starters - http://en.wikipedia.org/wiki/Gravitational_redshift
Note the alternate viewpoint in terms of differing clock rates rather than energy gain/loss in the section "Gravitational redshift versus gravitational time dilation"
 

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