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It is known, that Reissner-Nordstrom black hole is thermodynamically unstable [1].

  • Does it mean, that there is no Reissner-Nordstrom black hole in physical world?
  • Does it mean, that there may be phase transition?
  • Does it mean, that it can be stable for enough long time?

[1] For example, arxiv.org/pdf/0812.1767v2.pdf pp.19-20.

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Can you provide the reference where you encountered this statement? –  kleingordon May 14 '13 at 22:38
For example: arxiv.org/pdf/0812.1767v2.pdf, pages 19, 20. Also i did my own calculations of Hessian. –  drobnbobn May 14 '13 at 22:53
You can edit the question to include the reference. –  Ben Crowell May 14 '13 at 23:07
I really don't know anything specific about Reissner-Nordstrom black holes, but I can make the following observations: 1) the article you quote gives a range of possible charges in which the instability goes away 2) Generally speaking, thermal instability means that the rate of heating or cooling will run away, causing the temperature to correspondingly and dramatically rise or fall. –  kleingordon May 15 '13 at 1:11

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