Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
复制标题
Schwarzschild-Tangherlini 黑洞热力学的量子修正和广义不确定性原理
DOI：
10.1140/epjc/s10052-016-4057-1
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发表时间：
2016
影响因子：
4.4
通讯作者：
Yang S. Z.
中科院分区：
文献类型：
--
作者：
Feng Z. W.;Li H. L.;Zu X. T.;Yang S. Z.
我们在广义不确定性原理（GUP）的背景下研究了史瓦西-坦格里尼黑洞的热力学。霍金温度、熵和热容的修正是通过修正的汉密尔顿-雅可比方程获得的。这些修改表明 GUP 改变了史瓦西-唐格尔利尼黑洞的演化。特别是，当黑洞的半径或质量接近普朗克尺度时，GUP效应变得敏感，它停止辐射并导致黑洞残余。同时，通过热容量分析可以确认普朗克尺度残余。这些现象意味着GUP可能会给出解决信息悖论的方法。此外，我们还研究了在大型强子对撞机（LHC）上观测黑洞的可能性，结果表明近期的LHC无法产生黑洞。
We investigate the thermodynamics of Schwarzschild–Tangherlini black hole in the context of the generalized uncertainty principle (GUP). The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified Hamilton–Jacobi equation. These modifications show that the GUP changes the evolution of the Schwarzschild–Tangherlini black hole. Specially, the GUP effect becomes susceptible when the radius or mass of the black hole approaches the order of Planck scale, it stops radiating and leads to a black hole remnant. Meanwhile, the Planck scale remnant can be confirmed through the analysis of the heat capacity. Those phenomena imply that the GUP may give a way to solve the information paradox. Besides, we also investigate the possibilities to observe the black hole at the Large Hadron Collider (LHC), and the results demonstrate that the black hole cannot be produced in the recent LHC.