I Can a Black Hole be Destroyed by Electron Beam?

[Ilya B]

TL;DR Summary

Electrostatic repulsion of two electrons is about 4.2*10^42 stronger than their gravitational attraction, and is also mediated by massless carriers. Black holes preserve charge, and giving it even a moderate electric (negative) charge will result in BH repulsing electrons instead of attracting them.

Electrostatic repulsion of two electrons is about 4.17*10^42 stronger than their gravitational attraction, and is mediated by massless carriers. Black holes preserve charge, and charging a BH with even a moderate electric (negative) charge will result in BH repulsing electrons instead of attracting them.

Black will start evaporate hole by including intensified Hawking Radiation, shifted from equilibrium towards emitting electrons (lightest negatively charged particle). The electrons which levitate close to Event Horizon (due to equilibrium between Gravitational attraction and electrostatic repulsion) will radiate as accelerated particle. Levitating electrons might remain at the same place according to our external frame, but according to strong equivalence principle they are charges accelerated by electrostatic field, and therefore should radiate as an accelerated charge.

Where can they get energy for this radiation? Only from diminishing mass of the BH.
There are many questions to discuss here...

 

[PeroK]

You seem to be mixing a number of different physical theories: GR, GR with QM effects (Hawking radiation) and classical Electromagnetism. Perhaps someone can disentangle what you've written and give you a suitable answer, but it looks like a bit of a muddle to me.

PS unless you are a postgraduate physics student, then an "A" level thread is not appropriate. I suggest that "I" level might be more appropriate. [Mentors' note: noted and changed]

 

[Nugatory]

but according to strong equivalence principle they are charges accelerated by electrostatic field, and therefore should radiate as an accelerated charge...Where can they get energy for this radiation?

You don't need a black hole to pose this question; we could just as easily ask the same question about a charged particle at rest on the surface of the Earth and therefore experiencing 1g of constant proper acceleration. Whether and how a particle radiates under these conditions is a fairly involved topic - we have some older threads and a google search will find a fair amount of discussion.

 

[Ilya B]

You don't need a black hole to pose this question; we could just as easily ask the same question about an charged particle at rest on the surface of the Earth and therefore experiencing 1g of contants proper acceleration. Whether and how a particle radiates under these conditions is a fairly involved topic - we have some older threads and a google search will find a fair amount of discussion.

That was a rhetorical question. If we have an electron which experiences the gravitational attraction, but does not free-fall due to electrostatic repulsion, it is an accelerated charge. And as an accelerated charge it radiates. There is no other source of energy for this radiation except for the black hole itself.

 

[Nugatory]

That was a rhetorical question.

You may have intended it as a rhetorical question, but it is not. There's a lot more to this problem than the simple statement that "accelerated charges radiate".

A link that might get you started are the wikipedia article https://en.wikipedia.org/wiki/Paradox_of_radiation_of_charged_particles_in_a_gravitational_field (be sure to follow the references)