标题： 非极端静态轴对称黑洞由于最小耦合量子标量场的量子熵 显示英文标题

标题： Quantum entropy of the general non-extreme stationary axisymmetric black hole due to minimally coupled quantum scalar field

摘要： 通过使用 't Hooft 的“砖墙”模型和 Pauli-Villars 正则化方案，我们计算了在一般四维非极端静止轴对称黑洞时空中的最小耦合标量场所产生的统计力学熵，这些标量场以方位角角速度$\Omega_0=\Omega_H$旋转（$\Omega_H$是黑洞视界的角度速度）。 我们还表明，对于 Kerr-Newman 和 Einstein-Maxwell 稀释子-轴子黑洞，我们推导得到的统计力学熵与通过锥奇点方法得到的量子热力学熵是等价的。 显示英文摘要

摘要： By using the 't Hooft "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from the minimally coupled scalar fields which rotate with the azimuthal angular velocity $\Omega_0=\Omega_H$ ($\Omega_H$ is the angular velocity of the black hole horizon) in the general four-dimensional non-extreme stationary axisymmetric black hole space-time. We also show, for the Kerr-Newman and the Einstein-Maxwell dilaton-axion black holes, that the statistical-mechanical entropy obtained from our derivation and the quantum thermodynamical entropy by the conical singularity method are equivalent.