What is the Orientation of Lightcones in a Kerr Ring?

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In summary, the conversation is about finding diagrams similar to the ones provided, specifically for the Kerr ring. The orientation of lightcones within the ring is also discussed, as well as the lack of answers and the suggestion to visualize in a Penrose diagram. Additional resources, such as "waterfall diagrams" and a paper on the topic are also mentioned.
  • #1
Dmitry67
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I am trying to find any diagrams like the following ones:

http://www.valdostamuseum.org/hamsmith/DFblackIn.gif
http://www.illc.uva.nl/~seop/entries/sp ... one-bh.gif
http://www.orbiter-forum.com/gallery/da ... ration.jpg

(the 1st is the best, even I failed to find it in better resolution)

But for the Kerr ring?
Especially, how these lightcones are oriented inside the ring?
 
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  • #2
Could anyone at least explain why there are no answers?
 
  • #3
Probably easiest to visualize in a Penrose diagram like this one, where all light rays are drawn at 45 degree angles (and all timelike worldlines are closer to vertical than 45 degrees) so a light cone from any event would look just like it does in a Minkowski diagram (compare with Penrose diagram for a nonrotating Schwarzschild black hole here and here). Also, it's not quite what you're asking for but you may be interested in the "waterfall diagrams" on this page and this one, with more details about these types of diagrams given in the paper linked to on the second page.
 

FAQ: What is the Orientation of Lightcones in a Kerr Ring?

What is a lightcone around a Kerr ring?

A lightcone around a Kerr ring is a theoretical construct used in the study of general relativity. It represents the path that light would take in space-time around a rotating black hole, known as a Kerr ring. The lightcone is a cone-shaped structure that expands outward from the black hole, with the tip of the cone being the event horizon of the black hole.

How does the rotation of a Kerr ring affect the lightcone?

The rotation of a Kerr ring causes the lightcone to become tilted, with the tilt increasing as the rotation of the black hole increases. This means that the path of light around a rotating black hole is not a perfect circle, but rather a spiral shape. The rotation also causes the lightcone to be dragged along with the rotation of the black hole, known as frame dragging.

What is the significance of studying lightcones around Kerr rings?

The study of lightcones around Kerr rings provides important insights into the behavior of gravity near rotating black holes. It also helps us understand the effects of strong gravitational fields on the propagation of light. This knowledge is crucial in understanding the dynamics of the universe and the behavior of objects in extreme gravitational environments.

Can light escape from a Kerr ring?

Yes, light can escape from a Kerr ring. However, the strong gravitational pull of the black hole can cause the light to be significantly bent and warped, making it difficult to escape. This effect is known as gravitational lensing and is a result of the curvature of space-time caused by the black hole's mass and rotation.

How are lightcones around Kerr rings important in astrophysics?

Lightcones around Kerr rings are important in astrophysics because they allow us to study the properties of black holes and the behavior of matter and light in their vicinity. They also play a crucial role in understanding the formation and evolution of galaxies and other cosmic structures, as well as the overall structure and expansion of the universe.

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