Metastable Black Saturns

Details Metastable Black Saturns Metastable Black Saturns

2008-04-29

arxiv.org/abs/0804.4575v3

JHEP 0809:003,2008

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 5 eps figures, refs added, clearer discussion of local equilibrium and Gubser-Mitra, JHEP version

Scientific paper

10.1088/1126-6708/2008/09/003

Black Saturns have multiple horizons and so offer a testing ground for the ideas of black hole thermodynamics. In this note, we numerically scan for phases that are in equilibrium by extremizing total entropy in the 2-dimensional moduli space of stationary, singly rotating black Saturns with fixed total mass and angular momentum. On top of the known T_H=T_R, Omega_H=Omega_R configurations, we find phases that do not balance the temperature and angular velocity of the ring and the hole. But these (and most of the balanced Saturns) go away when we demand that the system is metastable, by imposing that the Hessian of the entropy is negative definite. Metastablity occurs when the dimensionless total angular momentum lies in a narrow window 0.92457

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