论文标题
黑洞背景中的宇宙常数和真空零点能
Cosmological Constant and Vacuum Zero Point Energy in Black Hole Backgrounds
论文作者
论文摘要
我们研究了Schwarzschild黑洞以及DS-Schwarzschild背景的Nariai限制中的量子真空零点能。我们表明，黑洞附近的正则真空能量密度以及在NARIAI设置中与平面背景中的相应值完全匹配，并与量子场质量的第四强度缩放。由真空零点能量产生的DS空间的地平线半径引入了新的长度尺度，应与黑洞的半径进行比较。浸入真空零点能量的黑洞中有一个上限质量，该质量取决于与零点能构建的DS背景相关的NARIAI度量的质量。我们计算真空零点能的分布和密度对比度的差异，并表明它在亚匹配尺度上产生了强烈的不均匀性。
We study the quantum vacuum zero point energy in the Schwarzschild black hole as well as in the Nariai limit of the dS-Schwarzschild backgrounds. We show that the regularized vacuum energy density near the black hole and also in the Nariai setup match exactly with the corresponding value in the flat background, scaling with the fourth power of the mass of the quantum field. The horizon radius of the dS space created from the vacuum zero point energy introduces a new length scale which should be compared with the black hole horizon radius. There is an upper limiting mass for the black hole immersed in the vacuum zero point energy which is determined by the mass of the Nariai metric associated to the dS background constructed from zero point energy. We calculate the variance in the distribution of the vacuum zero point energy and the density contrast and show that it develops strong inhomogeneities on sub-horizon scales.
