论文标题
Schwarzschild内部的物质积聚与半经典反弹
Matter accretion versus semiclassical bounce in Schwarzschild interior
论文作者
论文摘要
我们讨论了先前构建的Schwarzschild黑洞内部模型的特性,在该模型中,奇异性被常规弹跳所取代,最终导致了白洞。该模型本质上是半经典的,用作重力的来源,对应于量子场真空极化对应的有效应力能量张量(集合),最小球形半径比普朗克长度大几个数量级,因此量子重力的效应应仍然可忽略不计。我们估计了由于非平稳性引力场引起的空间切片和粒子产生的非平凡拓扑拓扑而引起的有效集合的其他量子贡献,并表明由于真空极化而与集合相比,这些贡献的量很小。对于黑洞的不同种类物质的增值以及其进一步的奇异性运动,也显示了同样的现象。因此,从清晰的意义上讲,在量子和经典的扰动下,我们的半经典弹跳模型而不是施瓦茨柴尔德的奇异模型稳定。
We discuss the properties of the previously constructed model of a Schwarzschild black hole interior where the singularity is replaced by a regular bounce, ultimately leading to a white hole. The model is semiclassical in nature and uses as a source of gravity the effective stress-energy tensor (SET) corresponding to vacuum polarization of quantum fields, and a minimum spherical radius is a few orders of magnitude larger than the Planck length, so that the effects of quantum gravity should be still negligible. We estimate the other quantum contributions to the effective SET, caused by a nontrivial topology of spatial sections and particle production from vacuum due to a nonstationary gravitational field and show that these contributions are negligibly small as compared to the SET due to vacuum polarization. The same is shown for such classical phenomena as accretion of different kinds of matter to the black hole and its further motion to the would-be singularity. Thus, in a clear sense, our model of a semiclassical bounce instead of a Schwarzschild singularity is stable under both quantum and classical perturbations.