GUP对BTZ黑洞霍金辐射的影响
Effect of GUP on Hawking radiation of BTZ black hole
摘要：
基于广义不确定原理，利用Hamilton-Jacobi方法和Dirac方程研究了BTZ黑洞的霍金辐射.利用基于GUP的修正Dirac方程，研究了BTZ黑洞中自旋为1/2粒子的隧穿几率和Hawking温度.通过后孔视界的费米子的修正Hawking温度包括了黑洞的质量参数、角动量、能量以及发射粒子的出射质量。此外，考虑GUP的影响，利用Damour和Ruffini方法、Tortoise坐标变换和修正的Klein-Gordon方程，研究了BTZ黑洞中无质量粒子的修正霍金辐射.导出了用Damour-Ruffini方法得到的修正Hawking温度与发射粒子能量的关系。在没有量子引力效应的情况下，也恢复了原来的霍金温度。
英文摘要：
The Hawking radiation of BTZ black hole is investigated based on generalized uncertainty principle effect by using Hamilton-Jacobi method and Dirac equation. The tunneling probability and the Hawking temperature of the spin-1/2 particles of the BTZ black hole are investigated using modified Dirac equation based on the GUP. The modified Hawking temperature for fermion crossing the back hole horizon includes the mass parameter of the black hole, angular momentum, energy and also outgoing mass of the emitted particle. Besides, considering the effect of GUP into account, the modified Hawking radiation of massless particle from a BTZ black hole is investigated using Damour and Ruffini method, tortoise coordinate transformation and modified Klein-Gordon equation. The relation between the modified Hawking temperature obtained by using Damour-Ruffini method and the energy of the emitted particle is derived. The original Hawking temperature is also recovered in the absence of quantum gravity effect.
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