Unstable 5D Theories: The Search for Stable Black Holes in Higher Dimensions

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SUMMARY

The discussion centers on the instability of five-dimensional (5D) theories, specifically those proposed by Paul Wesson and the Randall-Sundrum model. The advisor cautioned against investing too much time in these theories due to their inherent instability, which includes issues like imaginary mass and gravitational collapse in extra dimensions. A referenced paper, "Black Holes in Higher Dimensions" by Gary Horowitz, is suggested for further exploration of these stability problems, particularly focusing on the fine-tuning required in 5D models.

PREREQUISITES
  • Understanding of five-dimensional (5D) theories
  • Familiarity with the Randall-Sundrum model
  • Knowledge of gravitational collapse concepts
  • Basic grasp of fine-tuning in theoretical physics
NEXT STEPS
  • Read "Black Holes in Higher Dimensions" by Gary Horowitz
  • Investigate the stability issues in 5D theories
  • Explore the concept of imaginary mass in theoretical physics
  • Study fine-tuning requirements in higher-dimensional models
USEFUL FOR

The discussion is beneficial for theoretical physicists, graduate students in physics, and researchers interested in higher-dimensional models and their stability challenges.

TomServo
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I tried a cursory search for this but couldn't find it.

I was talking with my advisor about 5D theories such as those of Paul Wesson and Randall-Sundrum, and he said that I shouldn't spend too much time studying those theories because they are unstable, or require so many corrections to stabilize them that they become intractable. However, I find them intriguing anyway. I want to understand the stability problems he was talking about, such as imaginary mass and gravitational collapse of the extra dimension.

He gave me a paper that talked a little about it but I'm still not grasping what makes these theories so unstable so I might avoid this if I try to build my own model (as a side project to my main research).

Thanks.
 
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As a start for discussion, can you link to the paper your advisor gave you?
 
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PAllen said:
As a start for discussion, can you link to the paper your advisor gave you?

https://arxiv.org/abs/0808.2055

He directed my attention to the first paragraph on the second page. I also think references 74-77 are supposed to be about the fine tuning necessary in 5D models.
 
TomServo said:
https://arxiv.org/abs/0808.2055

He directed my attention to the first paragraph on the second page. I also think references 74-77 are supposed to be about the fine tuning necessary in 5D models.
The highest number reference I see is 49.

I don't understand anything in the paragraph you mention as showing instability, but this is not remotely my area of expertise. However, with this reference, I hope someone else here might be able to help.
 
Try "Black Holes in Higher Dimensions", Gary Horowitz.
 

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