Question on gravitational lensing

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SUMMARY

The discussion centers on the examination of the spectrum of gravitationally lensed light, particularly focusing on potential red or blue shifts observed in different parts of an Einstein ring. Participants clarify that, according to General Relativity (GTR), light bending does not depend on frequency. However, Rudi Van Nieuwenhove raises the possibility of frequency shifts due to strong frame-dragging effects around massive rotating bodies, such as black holes or galaxies. The conversation references Chandrasekhar's "Mathematical Theory of Black Holes" for further exploration of these concepts.

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  • Understanding of General Relativity (GTR)
  • Familiarity with gravitational lensing concepts
  • Knowledge of Einstein rings and their characteristics
  • Basic principles of frame dragging in astrophysics
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  • Research the mathematical framework in Chandrasekhar's "Mathematical Theory of Black Holes"
  • Examine observational techniques for measuring red and blue shifts in astrophysics
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Astronomers, astrophysicists, and students interested in gravitational lensing, black hole physics, and the implications of General Relativity on light propagation.

notknowing
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I was wondering whether one has examined the spectrum of gravitational lensed light (nice description on wikipedia : http://en.wikipedia.org/wiki/Gravitational_lensing ). Have there been indications on some red or blue shifts in the light from different parts of the observed ring? Does anyone know?

Rudi Van Nieuwenhove
 
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notknowing said:
I was wondering whether one has examined the spectrum of gravitational lensed light (nice description on wikipedia : http://en.wikipedia.org/wiki/Gravitational_lensing ). Have there been indications on some red or blue shifts in the light from different parts of the observed ring? Does anyone know?

Rudi Van Nieuwenhove

I realized that I should have been more specific. What I meant is "has one observed variations in red shifts in the light from different parts of the ring ?"
 
Are you talking about an Einstein ring? (There are a few examples of almost perfect Einstein rings which have been observed.) What kind of variations do you have in mind?
 
As far as I know, the gravitational deflection of light should not affect light's frequency. If there are experiments showing the opposite I would be interested to get the reference.

Eugene.
 
Well, in gtr, light bending certainly does not depend on frequency (in the geometrical optics approximation), but it's not clear to me what he has in mind.
 
Chris Hillman said:
Well, in gtr, light bending certainly does not depend on frequency (in the geometrical optics approximation), but it's not clear to me what he has in mind.

Sorry for the late reply (have been sick). I was just wondering whether some strong kind of space-dragging effects around rotating galaxies or rotating black holes could possibly lead to a shift in frequency. Or would it only lead to a time difference ?
 
Straightening out Light-bending (Mk1:3)

Rudi, sorry, but I don't yet understand your question. Did you take the point (already mentioned by meopemuk) that according to gtr, "light bending" (e.g. in "gravitational lensing") does not depend on the frequency of the light being bent?
 
Last edited:
Chris Hillman said:
Rudi, sorry, but I don't yet understand your question. Did you take the point (already mentioned by meopemuk) that according to gtr, "light bending" (e.g. in "gravitational lensing") does not depend on the frequency of the light being bent?

Yes, I know that light bending as such does not depend on the frequency of the light. The question is what happens in case of strong frame dragging effects, so in which the galaxy or black hole has a very large mass and high angular momentum. What would happen if we observe lensed light (from stars far beyond this large rotating mass) in this case? At one side, the light would encounter a "space rotation" in the same direction as the propagating light and at the other side the "space rotation" would be in the other direction. How would this show up in the observed light. I know the effects are small, but I'm just wondering about the physical effect.

Rudi Van Nieuwenhove
 
This is discussed extensively in Chandrasekhar, Mathematical Theory of Black Holes.
 

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