Anderson P R, Hiscock W A, Taylor B E
Department of Physics, Wake Forest University, Winston-Salem, North Carolina 27109, USA.
Phys Rev Lett. 2000 Sep 18;85(12):2438-41. doi: 10.1103/PhysRevLett.85.2438.
The semiclassical Einstein equations are solved to first order in epsilon = Planck's over 2pi/M2 for the case of a Reissner-Nordström black hole perturbed by the vacuum stress energy of quantized free fields. Massless and massive fields of spin 0, 1/2, and 1 are considered. We show that in all physically realistic cases, macroscopic zero temperature black hole solutions do not exist. Any static zero temperature semiclassical black hole solutions must then be microscopic and isolated in the space of solutions; they do not join smoothly onto the classical extreme Reissner-Nordström solution as epsilon-->0.
针对由量子化自由场的真空应力能量所扰动的雷斯纳 - 诺德斯特龙黑洞情形，求解了半经典爱因斯坦方程至(\epsilon = \frac{普朗克常数}{2\pi M^2})的一阶近似。考虑了自旋为(0)、(\frac{1}{2})和(1)的无质量和有质量场。我们表明，在所有物理上现实的情形中，宏观零温度黑洞解不存在。那么，任何静态零温度半经典黑洞解必定是微观的且在解空间中是孤立的；当(\epsilon \to 0)时，它们不会平滑地连接到经典的极端雷斯纳 - 诺德斯特龙解上。
