Are black holes perfect spheres?

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SUMMARY

Black holes are not perfect spheres; rather, their event horizons can be spherical under specific conditions. The Schwarzschild solution describes non-rotating black holes with a spherically symmetrical event horizon, while rotating black holes, described by the Kerr-Newman solution, exhibit axial symmetry and frame-dragging effects. The event horizon of a rotating black hole is not perfectly spherical and can appear more disk-like. Real black holes will always have some degree of rotation, affecting their shape.

PREREQUISITES
  • Understanding of Schwarzschild and Kerr-Newman solutions in general relativity
  • Familiarity with concepts of event horizons and singularities
  • Knowledge of frame-dragging effects in rotating black holes
  • Basic grasp of gravitational effects on spacetime geometry
NEXT STEPS
  • Research the Schwarzschild solution and its applications in astrophysics
  • Explore the Kerr-Newman solution and its implications for rotating black holes
  • Investigate frame-dragging and its effects on nearby objects
  • Study the observational evidence for black hole shapes and behaviors
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Astronomers, physicists, and students of general relativity interested in the properties and behaviors of black holes.

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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