论文标题
快速旋转Kerr黑洞和通用放松结合的准谐振
Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound
论文作者
论文摘要
通用弛豫结合表明，扰动热力学系统的放松时间是从下面通过简单的时光 - 温度（ttt）量子关系$τ\ times t \ geq {{\ hbar} \offousπ} $界定的。众所周知，在制度中，几乎超级kerr黑洞的某些扰动模式由标准化的放松时间$πτ\πτ\ wimes t _ { $ mt _ {\ text {bh}}/\ hbar \ to0 $，使许多振荡无限地振荡，幅度很小，幅度较小左右$ 1 $，因此无法直接使用TTT绑定的TTT限制的有效性，以在黑洞空间的整个参数空间中（这里$ \ \ { Bekenstein-Hawking温度和黑洞的质量和$ M $是线性化扰动模式的方位角谐波指数）。在目前的紧凑型纸中，我们明确证明所有快速旋转的Kerr黑洞都尊重TTT松弛结合。特别是，使用分析技术，证明了互补状态中的所有黑洞扰动模式$ m^{ - 1} \ ll mt _ {\ text {bh}}/\ hbar \ hbar \ ll1 $由简单的Dimemension belters $π°π\π°π\ fime time time t Time the t _ {\ text {bh}}/\ hbar \ geq1 $。
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 $τ\times T\geq {{\hbar}\overπ}$. It is known that some perturbation modes of near-extremal Kerr black holes in the regime $MT_{\text{BH}}/\hbar\ll m^{-2}$ are characterized by normalized relaxation times $πτ\times T_{\text{BH}}/\hbar$ which, in the approach to the limit $MT_{\text{BH}}/\hbar\to0$, 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 $m^{-1}\ll MT_{\text{BH}}/\hbar\ll1$ are characterized by relaxation times with the simple dimensionless property $πτ\times T_{\text{BH}}/\hbar\geq1$.
