B Are black holes perfect spheres?

AI Thread Summary
Black holes are often considered the closest natural approximation to a perfect sphere, particularly regarding their event horizons. While a non-rotating black hole, described by the Schwarzschild solution, has a perfectly spherical event horizon, rotating black holes (Kerr-Newman solutions) exhibit axial symmetry and can appear more disk-like. The discussion highlights that real black holes will have some rotation, affecting their shape and leading to phenomena like frame-dragging. The event horizon's shape can vary due to gravitational influences, suggesting that perfect spherical symmetry is an idealization rather than a reality. Overall, while black holes can approach spherical shapes, they are not perfectly spherical due to their inherent properties and external gravitational effects.
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?
 
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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
 
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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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