IFEG   20353
INSTITUTO DE FISICA ENRIQUE GAVIOLA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Thermodynamic volume for black holes and black rings
Autor/es:
NATACHA ALTAMIRANO; DAVID KUBIZNAK; ROBERT MANN
Reunión:
Conferencia; Black Holes IX; 2013
Resumen:
Employing an assumption that in the first law of black hole thermodynamics the cosmological
constant is treated as a thermodynamic variable and interpreted as thermodynamic pressure, we
calculate its conjugate quantity?thermodynamic volume?for various rotating asymptotically AdS
black hole spacetimes of different horizon topology in higher dimensions. Namely, we study the
thermodynamic volume of singly spinning AdS black holes and thin black rings and construct the
corresponding equations of state in the ultra-spinning and slow rotation regimes. For rotating black
holes in d = 4 and d = 5 we show that there is a small/large black hole phase transition similar
to the liquid/gas phase transition of the Van der Waals fluid with critical point characterized by
the same critical exponents. In d ≥ 6 dimensions the situation is more subtle: the critical point
may occur in the unstable branch of black holes, and for certain range of pressures, there exists a
zeroth order phase transition, observed previously for the Born?Infeld black holes. We also study
the thermodynamic volume and the equation of state in the ultra-spinning expansion when the
black holes approach the regime of thin spinning membranes with high temperature and non-
critical equation of state. A similar analysis is performed for thin asymptotically AdS black rings.
We show that in the given approximation the volume is dominated by the angular momentum
term while it still satisfies the reverse isoperimetric inequality. Interestingly, in the ultra-spinning
limit, the equation of state for black rings and black holes coincide.