Kerr-Newman黑洞的辐射几率与纠缠熵

The emission rate and the entanglement entropy of a Kerr-Newman black hole

通过求解弯曲时空中的Klein-Gordon方程,得到视界附近的量子波函数,求出标量粒子在视界附近的Hawking辐射散射几率.依据统计平衡时出现某个宏观态的热力学概率与该态所对应熵之间的关系,计算出Kerr-Newman黑洞的纠缠熵.结果表明,利用该方法计算黑洞熵,不仅能得到熵与视界面积成正比,还避免了截断因子的出现.

By solving the Klein-Gordon equation in curved spacetime, the quantum wave function near the horizon has been obtained and the emission rate of scalar particles near the horizon has been achieved. Under the statistical equilibrium, the entanglement entropy of the Kerr-Newman black hole has been obtained by the relationship between a macro-state thermodynamic probability and the entropy of state. The results show that the entropy of black hole has been obtained by use of the method is proportional to the horizon area and avoided the emergence of a truncated factor.