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

In summary, the red/blue shift phenomenon is the change in wavelength of light emitted by an object due to its motion and is related to gravity when an object is moving towards or away from an observer due to the influence of a massive object's gravitational pull. The strength of gravity directly affects the amount of red/blue shift observed and it can occur in all wavelengths of light. While red/blue shift can also be caused by factors such as the Doppler effect, it is commonly used in scientific research to study the universe and understand the movement of celestial objects.
  • #1
DeG
23
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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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  • #2
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"
 

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

1. What is the red/blue shift phenomenon and how is it related to gravity?

The red/blue shift phenomenon refers to the change in wavelength of light emitted by an object due to its motion. In the case of gravity, the red/blue shift occurs when an object is moving towards or away from an observer due to the influence of a massive object's gravitational pull.

2. How does the strength of gravity affect the red/blue shift?

The strength of gravity directly affects the amount of red/blue shift observed. The stronger the gravitational pull, the greater the red/blue shift will be. This is because the object's motion is more significant in relation to the gravitational force.

3. Can red/blue shift be observed in all wavelengths of light?

Yes, red/blue shift can occur in all wavelengths of light, including visible light, infrared, and ultraviolet. The amount of shift may vary depending on the wavelength, but the phenomenon is present in all types of light.

4. Is the red/blue shift always caused by gravity?

No, the red/blue shift can also be caused by other factors such as the Doppler effect, which is the change in frequency of sound or light waves due to the relative motion between the source and the observer. However, red/blue shift caused by gravity is one of the most common and well-studied phenomena.

5. How is red/blue shift used in scientific research?

Red/blue shift is a crucial tool in studying the universe and understanding the movement of celestial objects. By measuring the amount of red/blue shift, scientists can determine the velocity and direction of an object's motion, as well as its distance from Earth. This information can provide valuable insights into the structure and behavior of the universe.

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