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Near-Extreme Black Holes and the Universal Relaxation Bound
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abstract
A fundamental bound on the relaxation time \tau of a perturbed thermodynamical system has recently been derived, \tau \geq \hbar/\pi T, 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.
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Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes
The minimum orbital period of circular lightlike orbits around Hayward and Bardeen regular black holes satisfies the conjectured bounds, supporting the horizon's role over the singularity.
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