Stability and thermodynamics of black rings
msra(2005)
摘要
We study the phase diagram of D=5 rotating black holes and the black rings
discovered by Emparan and Reall. We address the issue of microcanonical
stability of these spacetimes and its relation to thermodynamics by using the
so-called ``Poincare method'' of stability. We are able to show that one of the
BR branches is always unstable, with a change of stability at the point where
both BR branches meet. We study the geometry of the thermodynamic state space
(``Ruppeiner geometry'') and compute the critical exponents to check the
corresponding scaling laws. We find that, at extremality, the system exhibits a
behaviour which, formally, is very similar to that of a second order phase
transition.
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关键词
black hole,thermodynamics,state space,second order,phase transition,phase diagram,high energy physics,critical exponent
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