Randall-Sundrum model with a dilaton field at finite temperature

We find exact finite temperature solutions to d=5 Einstein-dilaton gravity with black branes and a Randall-Sundrum 3-brane. We show that there exists a unique generating superpotential for these models. The location of the black brane and the associated Hawking temperature depend on the value of the 3-brane tension, while other parameters are held fixed. The thermodynamics of these solutions are presented, from which we show that the entropy satisfies S<Vol(R3)/4G5. We demonstrate that in a certain limit the gauge dual of this theory effectively reduces to N=4 Super Yang-Mills at finite temperature on S1×R3.