Recent content by Max Green

Ah yes, that’s my bad, black hole uniqueness theorems, I know there are certain cases for black hole unique solutions but I’m wondering what the more general look is, why don’t we have complete understandings like in 4-D flat spacetime. Thanks

Hi, I am writing a report on uniqueness theorems and I am at the section for non asymptotically flat spacetime. I know that if we request certain restrictions, there are the existence of certain uniqueness theorems, however for the most part there are (so far) not many and they are hard to find...

Haha calm down mate only asking, you’re clearly not hearing what I’m saying. Don’t worry about it, I’ll get help from somebody qualified

so is there a uniqueness theorem for the EFE with a cosmological constant? if there is only one solution (de sitter spacetime) for positive constant, that is a unique solution for a cosmological constant? are there other metrics that can describe a spacetime with cosmo constant, T=0, other...

Ok to rephrase this, why is there no uniqueness theorem for EFE with a cosmological constant..can you give a counter example? or a simple reason as to why we don't have uniqueness theorems like birkhoff's or robinsons/israels but for a cosmo constant

I mean, for asymptotically flat 4-d spacetimes, we have unique solutions, ie. kerr metric for rotational source with no charge, in which we only require the mass and angular momentum to find a unique black hole solution. I'm wanting to apply this for EFE with a cosmological constant, why are...

Could you give me an example of a few of these solutions? Other than de sitter/anti solution

I am under the impression, there is no unique solutions to Einstein's field equations for a cosmological constant, or for higher dimensional spacetimes. Has anybody got a counter example for a solution including the cosmo constant to show there are multiple solutions, for example, i know of the...