Could this liberate all the matter from a black hole?..thought experiment
Hello Ugalpha, welcome to PF, I think you have a legitimate thought experiment that can be a way to learn something about the cosmological constant and/or the different ideas people have about "dark energy".
I don't know anything about you but it seems abstractly speaking like a reasonable question to ask. A person could learn by asking it. I'm not sure I know enough to respond adequately but I will try a little anyway.
ugalpha said:
So let's say that in my universe Dark energy would get stronger with time.
Could it liberate all the matter stuck in the black hole with suficient repulsive energy?
...
First of all, this is not new. This idea has come up in the professional research literature. That is OK! Ideas for thought experiments do not have to be new. The thing is not how original you are but whether you can learn something by some path of thought.
So people have thought about what would happen if the "dark energy" density was not constant but could change over time. Would it eventually tear apart atoms? Would it
eventually tear apart black holes?
IMHO it is a good question because it makes you think about what (in the real world) is at the center of a BH.
I don't mean what is at the center of an idealized theoretical BH according to General Relativity. The idealized GR model is not naturalistic. It has a "singularity" meaning that it breaks down and stops giving meaningful answers.
I mean what is really there? Because if (in thought experiment) you could jack up the cosmological constant until the thing destabilized and dissipated then what would happen would depend on what was really there.
Personally, although I respect the possible pedagogical value of the question, I don't KNOW enough to respond usefully. I don't have any idea what is there in the pit of a BH, really. Is it a new form of matter, of energy? Is it a small chaos of uncertainty?

Is it a stew of indefinite geometry? or a state in which geometry and matter are indistinguishable? Personally I have no clue.
Anyway AFAICS it's a constructive thought experiment, so I guess I will think about it a little. I wonder how the
Schwarzschild radius depends on Lambda. Or on some other "dark energy" parameter.
Can anyone say? Is anyone reading this thread who knows? Does it depend at all? There have been GR papers about the BH in deSitter space. That would be what one wants. In ordinary non-expanding space the Schw radius is just 2GM/c
2, so it depends only on the mass and Newton G etc very boring. But in deSitter space,with a Lambda, the BH should look a bit different. and its radius should depend on Lambda, I think. I could be wrong. Anybody?