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Must a black hole be a point singularity? 
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#37
Oct110, 08:18 AM

P: 136

Do you think its logical that essentially all the matter in a black hole should convert to radiation because of the insanely high temperatures, and the radiation pressure, whether it is (pc^2)/3 or pc^2, is still without limit and should provide a support mechanism?



#38
Oct110, 08:19 AM

P: 2,284




#39
Oct110, 08:20 AM

P: 3,387

Pressure has a force as a component, force has an acceleration component. If you do not have that acceleration component, you do not have force and so do not have any pressure.
10kg sat on a 1m^2 surface in space is = 10kg/m^2. However, there is no acceleration acting on the mass and so no force exerted by the mass on the surface. In other words no pressure. You can't use those units (kg/m^2) for anything other than in a constant acceleration situation (such as basic calculations on earth). Wacky, I didn't describe them as wacky, I'm just requesting you use SI units for the reasons outlined above. I have also read the wiki on neutron stars and would like to know where you see them using nonstandard units? I didn't see kg/m^2 anywhere (please correct me if I'm wrong). As nismar says, once inside the EH you are going to impact the singularity. The immense gravity means not even light can escape the EH so no amount of pressure from radiation is going to stop that. 


#40
Oct110, 08:23 AM

P: 136

When one boldly goes where no one has gone before, it sometimes helps to close one eye. Sometimes it might help to close both eyes.



#41
Oct110, 08:31 AM

P: 3,387

Nismar, I'm getting nasty Nam flashbacks here. It's the clamshell riddler all over again. Quick need to eject whilst I have the chance!
Bernie on a more serious note, at least try to use SI units to see if your hypothesis fits. Let's assume you're correct, wouldn't the radiation pressure work equally in all directions, therefore cancelling itself out? 


#42
Oct110, 08:34 AM

P: 136

I don't agree with a singularity yet. IF there is a spherical distributed mass of radiation, the gravitational force near the center is relatively trivial, and the gravitational force increases as R increases, becoming so high at the Schwarzchild radius that radiation can not escape. But that doesn't mean the sphere of radiation collapses on itself, if there is a support mechanism stronger than gravity. Its just that radiation can't escape the sphere of radiation.



#43
Oct110, 08:35 AM

P: 2,284

Bernie: He's right about the SI units you know... it's like agreeing on semantics before a debate... it smooths the way greatly. 


#44
Oct110, 08:36 AM

P: 3,387

Aside from within the singularities mass*, I was under the impression gravity decreased with radius from the mass? I may well be wrong on this, but it would be interesting to know why it would increase up to the EH and then decrease from that point on as you are implying. Or is this where the Schwarzchild radius comes in (I don't know what that is, shall use Google)?
(*as with the earth, the deeper you go the lower the g pulling you towards the centre) 


#45
Oct110, 08:37 AM

P: 136

"wouldn't the radiation pressure work equally in all directions"
Gas pressure in a star works in all directions. 


#46
Oct110, 08:39 AM

P: 136

"as with the earth, the deeper you go the lower the g pulling you towards the centre"
Yes, with a distributed mass. 


#47
Oct110, 08:39 AM

P: 2,284

As others have said, you could pass the EH of an AGN and not even notice that you'd done so. The EH is not some skin containing pressure, it's just a demarcation point with drastic consequences for the fate of anything past it. 


#48
Oct110, 08:43 AM

P: 2,284




#49
Oct110, 09:01 AM

P: 136

Yup, radiation doesn't get out of the black hole, if you want to call that a degree of freedom. Gravity is interesting... it gets out of a black hole and in other ways does not act like radiation. String theories .... fuzzballs .... conventional physics .... which would you prefer?



#50
Oct110, 09:07 AM

Sci Advisor
P: 1,891

Bernie G,
I don't know what you're arguing here. There's this theorem that proves that anything, matter or radiation must collapse if you put enough energy in a given space. That's it. I know you can't follow the proof mathematically, that's why Igave all these explanations like pressure gravitating, photon gases being unstable, or, most stringently, the spacetime geometry inside the horizon. If you take GR for granted, this is what happens. You can understand it or not, but you just can't use handwaving Newtonian intuition to reject this outcome. There is nothing stronger than gravity inside the horizon. Can't be. Whether there is a real singularity or is something completely different, we know that we can't trust GR at the highest densities. 


#51
Oct110, 10:22 AM

P: 136

I certainly agree that the gravity from a massive enough sphere of radiation can contain that radiation. I don't buy that gravity causes that sphere of radiation to collapse to point.
Einstein didn't believe in a point singularity. We should consider his opinion on anything related to conventional physics or GR or whatever. If a theorem proves it for you I can respect and value that position but I don't have to believe it. 


#52
Oct110, 10:43 AM

P: 2,284




#53
Oct110, 12:32 PM

P: 136

You said there is nothing stronger than gravity inside the horizon. Kind of true. I'm saying in a sphere of radiation, pressure driven by density will increase faster than gravity until you reach the surface of the sphere. Containment is achieved at the surface of the sphere when the gravitational force has increased to the point where it contains radiation. I don't think this requires the sphere to collapse.



#54
Oct110, 02:14 PM

Sci Advisor
P: 1,891

Further, as nismaratwork said, no theorem within GR could prove the existence of a point singularity, as this is exactly where GR breaks down. Nobody here claimed the existence of a point singularity. All we're saying is that, in the context of GR, radiation cannot halt the final collapse. 


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