最大熵发射率
Maximum rate of entropy emission
摘要：
结果表明，在黑洞中加入头发状的电荷或角动量，会降低黑洞的熵发射量。这促使我们研究黑洞的熵发射率，并猜想四维时空中热系统的局部熵发射率（$\dot{S}$）的一个最大极限（上限），并证明这个上限是$\dot{S}\simeq k_{B} \sqrt{\frac{c^5}{\hbar G}}$ .同时考虑Rènyi熵，证明了Bekenstein-Hawking熵导致熵发射率的最大极限.我们还提出了一个上界的表面引力的黑洞，这是所谓的普朗克表面引力。最后得到了黑洞的最大熵发射率、普朗克表面引力和普朗克温度之间的关系。
英文摘要：
It is shown that adding hair like electric charge or angular momentum to the black hole decreases the amount of entropy emission. This motivates us to study the emission rate of entropy from black holes and conjecture a maximum limit (upper bound) on the rate of local entropy emission ($\dot{S}$) for thermal systems in four dimensional space time and argue that this upper bound is $\dot{S}\simeq k_{B} \sqrt{\frac{c^5}{\hbar G}}$. Also by considering Rènyi entropy, it is shown that Bekenstein-Hawking entropy leads to a maximum limit for the rate of entropy emission. We also suggest an upper bound on the surface gravity of the black holes which is called Planck surface gravity. Finally we obtain a relation between maximum rate of entropy emission, Planck surface gravity and Planck temperature of black holes.
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