Angular momentum of a singularity?

Click For Summary

Discussion Overview

The discussion revolves around the concept of angular momentum, particularly in the context of black holes and singularities. Participants explore how angular momentum is conserved during the collapse of stars into black holes and the implications for the nature of singularities.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant notes the conservation of angular momentum in the example of an ice skater and questions how this principle applies when a large star collapses into a black hole, specifically regarding the nature of a singularity.
  • Another participant mentions that a black hole with angular momentum is referred to as a Kerr black hole, suggesting that the singularity takes the form of a ring rather than a point.
  • A different participant warns that defining angular momentum in curved spacetime is complex and suggests considering angular momentum as "stored" in spacetime rather than in the matter itself.
  • One participant poses a hypothetical scenario about an ice skater in outer space and questions whether angular momentum would still apply when the skater pulls their arms in, prompting further exploration of the concept.
  • A later reply affirms that angular momentum would still apply in space, reinforcing the idea that the skater would speed up as they bring their arms in, thus conserving angular momentum.

Areas of Agreement / Disagreement

Participants express varying degrees of understanding and agreement regarding the application of angular momentum in different contexts, particularly in relation to black holes and singularities. There is no consensus on the complexities of defining angular momentum in curved spacetime.

Contextual Notes

Participants acknowledge the challenges in defining angular momentum in curved spacetime and the implications of this for understanding black holes. The discussion reflects uncertainty about the nature of singularities and how angular momentum is conceptualized in these scenarios.

Adrian Baker
Messages
378
Reaction score
2
We know that an ice skater pulling her arms in and spinning faster is an example of the conservation of angular momentum.

As stars collapse to become Neutron stars, the rotational period can be as low as 0.001 seconds, again to conserve angular momentum.

So what happens to this angular momentum when a very large star collapses to a black hole - ie a singularity? How can a dimensionless point have angular momentum?
Is it conserved?
 
Physics news on Phys.org
Well you could ask the same thing of electrons. Yes angular momentum is conserved a black hole with angular momentum is called a Kerr black hole and is no longer spherically symetric. In this situation the singuularity becomes a ring:

http://www.physics.ubc.ca/~psih/kerr-metric/node5.html
 
Last edited by a moderator:
The definition of angular momentum in curved spacetime is very dicey, and cannot be made in general. With that warning, its probably best to consider the angular momentum "stored" in spacetime itself, not the underlying matter.
 
To all

Just a question:

If the ice skater was spinning in outer space
with arms straight out and the skater started
to bring in the arms towards himself or herself,
would angular momentum still apply in this case?
or are there other factors to be considered?
 
Thanks for the replys jcsd and stingray... I'm not sure I fully understand the answer, but at least I now know that it was a sensible question... :wink:

Poorichard2 - It would be just the same in space - the skater would speed up as they moved their arms in - angular momentum would still apply in this case. (in fact, without friction it would be a great example of angular momentum being consered)
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 23 ·
Replies
23
Views
2K
  • · Replies 36 ·
2
Replies
36
Views
16K
  • · Replies 9 ·
Replies
9
Views
6K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 15 ·
Replies
15
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K