English

Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing

General Relativity and Quantum Cosmology 2008-11-26 v1 Astrophysics Statistical Mechanics High Energy Physics - Theory Nuclear Theory Quantum Physics

Abstract

From information theory and thermodynamic considerations a universal bound on the relaxation time τ\tau of a perturbed system is inferred, τ/πT\tau \geq \hbar/\pi T, where TT is the system's temperature. We prove that black holes comply with the bound; in fact they actually {\it saturate} it. Thus, when judged by their relaxation properties, black holes are the most extreme objects in nature, having the maximum relaxation rate which is allowed by quantum theory.

Keywords

Cite

@article{arxiv.gr-qc/0611004,
  title  = {Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing},
  author = {Shahar Hod},
  journal= {arXiv preprint arXiv:gr-qc/0611004},
  year   = {2008}
}

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4 pages