Near-Extreme Black Holes and the Universal Relaxation Bound

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A fundamental bound on the relaxation time τof a perturbed thermodynamical system has recently been derived, τ\geq \hbar/πT, where $T$ is the system's temperature. We demonstrate analytically that black holes saturate this bound in the extremal limit and for large values of the azimuthal number m of the perturbation field.
2 Pages. Submitted to PRD on 5/12/2007

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