Are black holes perfect spheres?

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Discussion Overview

The discussion revolves around the shape of black holes, specifically whether they can be considered perfect spheres. Participants explore the implications of black hole rotation, the nature of event horizons, and the theoretical models that describe black holes.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants propose that black holes could be the closest thing to a perfect sphere, particularly referring to the event horizon.
  • Others clarify that a black hole is a singularity, but the event horizon surrounding it is thought to form a perfect sphere in non-rotating cases.
  • It is noted that rotating black holes do not have a spherically symmetric event horizon, as they are axially symmetric instead.
  • There is a suggestion that increased rotation speed of a black hole may lead to a more disk-like shape rather than elongation along the axis.
  • Some participants reference the Schwarzschild solution, which describes non-rotating black holes as having a perfect spherical event horizon, while acknowledging that real black holes will have some rotation.
  • Discussion includes the Kerr-Newman solution, which describes rotating black holes and introduces complexities such as frame-dragging, indicating that these black holes are not perfectly spherical.
  • One participant mentions the possibility of a ring shape based on the ring singularity concept.
  • Another participant argues that the gravitational influences in the universe would prevent a black hole from being a perfect sphere.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the shape of black holes, particularly in relation to rotation and the nature of the event horizon. The discussion remains unresolved with no consensus on whether black holes can be considered perfect spheres.

Contextual Notes

Limitations include the dependence on theoretical models and assumptions about rotation, as well as the complexities introduced by gravitational effects in the universe.

Alanay
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Since it is practically impossible to artificially create a perfect sphere, are black holes the closest thing?
 
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Alanay said:
Since it is practically impossible to artificially create a perfect sphere, are black holes the closest thing?
I believe they are, but better to let one of the experts here clarify it.
 
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My understanding is that a black hole is a singularity but the borders of the event horizon surrounding it form a perfect sphere.
 
lifeonmercury said:
My understanding is that a black hole is a singularity but the borders of the event horizon surrounding it form a perfect sphere.
Yeah I believe the OP is talking about the event horizon.
 
If the black hole is rotating, the EH is axially, not spherically symmetric.
 
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Vanadium 50 said:
If the black hole is rotating, the EH is axially, not spherically symmetric.
So just to build off of this, would a faster rotation speed of the BH lead to a more elongated black hole (along its axis)?
 
Comeback City said:
So just to build off of this, would a faster rotation speed of the BH lead to a more elongated black hole (along its axis)?
I think it's more disk-like, not more elongated along the axis.
 
Usually when people say "a black hole", they mean the Schwarzschild solution to the Einstein field equations, which describes a static and spherically symmetrical spacetime. A Schwarzschild black hole is not rotating (this is implied by spherical symmetry) and its event horizon is indeed a perfect sphere.

Of course this has to be an approximation; any real black hole will surely have some amount of rotation. A rotating black hole is described by the Kerr-Newman solution (google will find more information); Kerr-Newman black holes are not perfectly spherical and also do strange things like frame-dragging. These effects are most pronounced near the horizon, so the Schwarzschild solution is a good approximation for many situations. For example, the precession of Mercury, deflection of light by the sun, and the Shapiro effect are all adequately explained by the Schwarzschild solution applied to the sun and ignoring its rotation. (The sun is not a black hole of course, but the Kerr-Newman and Schwarzschild solutions apply to things that aren't black holes too).
 
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phinds said:
I think it's more disk-like, not more elongated along the axis.
But is it the ergosphere that is disk-like, or the event horizon itself?
 
  • #10
Comeback City said:
But is it the ergosphere that is disk-like, or the event horizon itself?
Aaargh ... frame dragging, that really gets on my nerves.
/jk
 
  • #11
rootone said:
Aaargh ... frame dragging, that really gets on my nerves.
/jk
AAAARGH! I'm sorry for my pitiful question :sorry: :DD
 
  • #13
IIRC the Kerr-Newman metric is mathematically valid, so I concur with Nugatory.
 
  • #14
I'll go check. I'll let you know what I find out.
 
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  • #15
It can't be a perfect sphere. Too much gravity around the Universe so the shape will definitely change accordingly.
 

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