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- W4225535750 abstract "The universal relaxation bound suggests that the relaxation times of perturbed thermodynamical systems is bounded from below by the simple time-times-temperature (TTT) quantum relation $tautimes Tgeq {{hbar}over{pi}}$. It is known that some perturbation modes of near-extremal Kerr black holes in the regime $MT_{text{BH}}/hbarll m^{-2}$ are characterized by normalized relaxation times $pitautimes T_{text{BH}}/hbar$ which, in the approach to the limit $MT_{text{BH}}/hbarto0$, make infinitely many oscillations with a tiny constant amplitude around $1$ and therefore cannot be used directly to verify the validity of the TTT bound in the entire parameter space of the black-hole spacetime (Here ${T_{text{BH}},M}$ are respectively the Bekenstein-Hawking temperature and the mass of the black hole, and $m$ is the azimuthal harmonic index of the linearized perturbation mode). In the present compact paper we explicitly prove that all rapidly-spinning Kerr black holes respect the TTT relaxation bound. In particular, using analytical techniques, it is proved that all black-hole perturbation modes in the complementary regime $m^{-1}ll MT_{text{BH}}/hbarll1$ are characterized by relaxation times with the simple dimensionless property $pitautimes T_{text{BH}}/hbargeq1$." @default.
- W4225535750 created "2022-05-05" @default.
- W4225535750 creator A5046640072 @default.
- W4225535750 date "2022-02-02" @default.
- W4225535750 modified "2023-09-24" @default.
- W4225535750 title "Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound" @default.
- W4225535750 doi "https://doi.org/10.48550/arxiv.2202.01230" @default.
- W4225535750 hasPublicationYear "2022" @default.
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