Gravitational Lensing: Why Does it Only Create Clones?

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Discussion Overview

The discussion revolves around gravitational lensing, specifically addressing why it typically results in multiple images of a star rather than a perfect Einstein ring. Participants explore the conditions under which different lensing phenomena occur, including the alignment of the source, lens, and observer, as well as the effects of symmetry and intervening matter.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants note that an Einstein ring occurs when the lens is perfectly aligned with a spherically symmetric source and the observer, but this alignment is rare in practice.
  • Others argue that gravitational lensing can be understood through Fermat's Principle, which suggests that light follows paths that are extremal in time, leading to multiple images when symmetry is disturbed.
  • Some participants mention that real-world lenses and sources are often not spherically symmetric and that perfect alignment is uncommon, contributing to the prevalence of multi-image behavior.
  • There is a suggestion that intervening matter always distorts the image, making perfect lensing events virtually impossible.
  • Participants express uncertainty about the nature of some images found in online searches, with some indicating that certain examples may be simulations or drawings.

Areas of Agreement / Disagreement

Participants generally agree that perfect Einstein rings are rare due to factors like imperfect alignment and intervening matter, but there is no consensus on the primary reasons for the observed phenomena or the implications of symmetry in gravitational lensing.

Contextual Notes

Limitations include the dependence on specific alignments and the influence of asymmetries in real-world scenarios, which are not fully resolved in the discussion.

BerryBoy
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I was wondering...

Why doesn't Gravitational Lensing ever create a ring when bending light from an obstructed star? It seems to always create 2,3 or 4 clones of the star.

I can't get my head around this, maybe I'm missing something fundamental?

Your posts are appriciated.

Regards,
Sam
 
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Yes, it's called an Einstein ring. Here is one of the better examples:
http://www.eso.org/outreach/press-rel/pr-2005/phot-20-05.html
There are a number of reasons 'pharmaceutical grade' examples of this phenomenon are virtually unknown.
 
Last edited by a moderator:
BerryBoy said:
I was wondering...
Why doesn't Gravitational Lensing ever create a ring when bending light from an obstructed star?

The pure ring solution only arises when the lens is situated on a line exacty between a spherically symmetric source and the observer. In general, you'll get more complex behavior.

Gravitational lensing can be thought of in terms of Fermat's Principle (see http://adsabs.harvard.edu/cgi-bin/n...pe=HTML&format=&high=4349a261f103762"), in which the light traverses paths that are extrema in time. If the source, lens, and observer are all perfectly lined up (and all are symmetric about this line), it stands to reason that there will be multiple extremal paths -- in fact, a ring of them. The symmetry demands that any particular path will have identical counterparts at all angles about the central line (each with the same distance from the line). Thus, if one path is an extremal, then all of its counterparts will be as well.

However, if you disturb this symmetry, then the redundancy of the extremal paths drops significantly. This is when you get the multi-image behavior that we often observe in nature. Not only are the lenses and sources we typically observe not spherically symmetric, but we never see them in such perfect alignment. Nevertheless, with near-alignment and extended sources, you can still get ring-like objects. A google image search brings up some really nice examples:

http://images.google.com/images?q=e...a&rls=org.mozilla:en-US:official&sa=N&tab=wi"

Some of these may be simulations, so be sure to check the links if you're curious about a particular object.
 
Last edited by a moderator:
Danger said:
I'm pretty sure that the top left one on the first page is a simulation.

The one in the top left is a drawing. :-p
 
:redface: .
 
A perfect alignment between an object and its gravitational lensing partner is not the reason a perfect lensing event is virtually impossible. There will always be intervening matter that distorts the image.
 
Chronos said:
A perfect alignment between an object and its gravitational lensing partner is not the reason a perfect lensing event is virtually impossible. There will always be intervening matter that distorts the image.

Chronos, asymmetric lenses and sources, intervening material, and imperfect alignments are all valid reasons for why we don't see perfect Einstein rings.
 
Dang, ST, I thought that was what I just said...
 
  • #10
Dear diary, ST will flunk me if I take his class...
 
  • #11
Chronos said:
Dear diary, ST will flunk me if I take his class...

You're a strange fellow, Chronos. Never change. :smile:
 
  • #12
He doesn't. That's why his laundry costs are nonexistent. :bugeye:
 
  • #13
You guys are tough on me. I only have a BS and like to argue.
 
  • #14
That's not quite like me, but close. I have a BS in arguing, in that most of my arguments are BS. :biggrin:
 

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