Can Black Holes Have Hair in Higher Dimensions?

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    Hair Theorem
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Discussion Overview

The discussion revolves around the concept of "hairy" black holes in higher dimensions, specifically addressing the existence and characteristics of such black holes compared to the traditional "no hair" theorem in four dimensions. Participants explore theoretical implications, references, and definitions related to this topic.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants assert that hairy black holes can exist in higher dimensions, although they express uncertainty about the reasons behind this.
  • There is a discussion about the "no hair" theorem in four dimensions, which states that black holes can be characterized solely by mass, charge, and angular momentum.
  • One participant mentions the existence of additional black hole solutions in higher dimensions, such as ring solutions, and refers to a paper that may provide insights into hairy black holes.
  • Another participant introduces the concept of scalar hair and mentions having read about hairy black holes with scalar hair in various papers, although they express confusion about the topic.
  • Questions arise regarding the terminology used, specifically why scalar hair is referred to as "hair" in the context of black holes.
  • A later reply discusses the implications of Einstein's Field Equations in higher dimensions, suggesting that they lead to more complex singularities that could be described by their spatial distribution, relating to the concept of black hole hair.

Areas of Agreement / Disagreement

Participants express differing views on the existence and implications of hairy black holes in higher dimensions. While some assert their existence, others question the basis for these claims, indicating that the discussion remains unresolved.

Contextual Notes

Participants reference various papers to support their claims, but there is a lack of consensus on the definitions and implications of "hair" in the context of black holes. Some assumptions about the nature of scalar hair and its relevance to black holes are also left unexamined.

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

Thanks :)
 
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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":
- additional charges?
- 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? :confused:
 
  • #10
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.
 

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