# No hair theorem loophole

• kuon
In summary, hair on a black hole would be extra charges that are distributed around the hole. The higher the number of charges, the more hair the black hole will have.

#### kuon

Does anybody roughly now the basics of why you can have hairy black holes in more than 4 D?

Thanks :)

can you? I wasn't aware that you could.

You can have hairy black holes, that's for sure. The question is that I don't know why. :(

kuon said:
You can have hairy black holes, that's for sure.
How do you know that? Any references?

kuon said:
You can have hairy black holes, that's for sure. The question is that I don't know why. :(

If you don't no why then you can't be sure can you? If someone says you can have hairy black holes why take their word for it?

I do recall that there are more black hole solutions in higher dimensions...ring solutions

so i believe this paper contains the answers you are looking for http://arxiv.org/abs/hep-th/0608012

"no hair" in 4D means "nothing except"
- mass
- charge
- angular momentum

so what do you mean by "hair":
- higher rep. for angular momentum?
- ...

Finbar said:
If you don't no why then you can't be sure can you? If someone says you can have hairy black holes why take their word for it?

I do recall that there are more black hole solutions in higher dimensions...ring solutions

so i believe this paper contains the answers you are looking for http://arxiv.org/abs/hep-th/0608012

You are right, if I don't know why I can't be sure. :)

Thanks for the reference, I'll take a look at it.

About the hair of the black hole. Well I was talking about scalar hair.

I was reading some paper where they say they use a hairy black hole, with scalar hair, so I thought it ought to exist.

After writing this question I found this paper where they give some evidence of possible hairy black holes with scalar hair. I haven't read it carefully yet but that's what it seems.

http://arxiv.org/PS_cache/hep-th/pdf/0505/0505189v2.pdf

I'm not familiar with the topic so I'm still a little confused about all together.

Thanks for the replies :)

If it's a scalar, then why would you call it hair?

In dimensions higher than four Einstein's Field Equations lead to singularities of dimension greater than zero e.g. black rings, and in general black p-branes. Obviously such a configuration must be described by its spatial distribution, in the sense of black hole hair.