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Non-relativistic metrics with extremal limits

2009; Springer Nature; Volume: 2009; Issue: 09 Linguagem: Inglês

10.1088/1126-6708/2009/09/096

1127-2236

Emiliano Imeroni, Aninda Sinha,

Astrophysical Phenomena and Observations

We present solutions of type IIB supergravity with z = 2 Schrödinger asymptotics that admit an extremal limit, i.e. the black hole horizon has a double zero. These solutions are obtained as TsT transformations of the charged planar black hole in AdS5 × S5. Unlike the uncharged solution, the Ramond-Ramond two-form is turned on. We study the thermodynamic properties of these new solutions, and we show that the ratio of shear viscosity to entropy density is 1/4π even in the extremal limit. We also consider the TsT-transformed soliton and show that, for a special radius of the compact circle, there is a confinement-deconfinement phase transition at zero temperature between the soliton and black hole phases.