IFEG   20353
INSTITUTO DE FISICA ENRIQUE GAVIOLA
Unidad Ejecutora - UE
artículos
Título:
Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume
Autor/es:
NATACHA ALTAMIRANO; DAVID KUBIZNAK; ROBERT MANN; ZEINAB SHERKATGHANAD
Revista:
Galaxies
Editorial:
Galaxies
Referencias:
Año: 2014 vol. 2 p. 89 - 159
Resumen:
In this review we summarize, expand, and set
in context recent developments on the thermodynamics of black holes in
extended phase space, where the cosmological constant is interpreted as
thermodynamic pressure and treated as a thermodynamic variable in its
own right. We specifically consider the thermodynamics of
higher-dimensional rotating asymptotically flat and AdS black holes and
black rings in a canonical (fixed angular momentum) ensemble. We plot
the associated thermodynamic potential?the Gibbs free energy?and study
its behavior to uncover possible thermodynamic phase transitions in
these black hole spacetimes. We show that the multiply-rotating Kerr-AdS
black holes exhibit a rich set of interesting thermodynamic phenomena
analogous to the ?every day thermodynamics? of simple substances, such
as reentrant phase transitions of multicomponent liquids, multiple
first-order solid/liquid/gas phase transitions, and liquid/gas phase
transitions of the van derWaals type. Furthermore, the reentrant phase
transitions also occur for multiply-spinning asymptotically flat
Myers?Perry black holes. These phenomena do not require a variable
cosmological constant, though they are more naturally understood in the
context of the extended phase space. The thermodynamic volume, a
quantity conjugate to the thermodynamic pressure, is studied for AdS
black rings and demonstrated to satisfy the reverse isoperimetric
inequality; this provides a first example of calculation confirming the
validity of isoperimetric inequality conjecture for a black hole with
non-spherical horizon topology. The equation of state P = P(V,T) is studied for various black holes both numerically and analytically?in the ultraspinning and slow rotation regimes.