论文标题
关于de Sitter时空的黑洞的反馈问题
On the backreaction issue for the black hole in de Sitter space-time
论文作者
论文摘要
我们考虑在Sitter-Schwarzschild时空背面中的量子真实的大规模标量场。为了以一种分析性的方式,我们详细研究了二维情况,假设在四个维度上的情况在概念上不会有很大不同。假定量子场处于热状态,即通过普朗克分布描述的是所考虑的几何形状中的精确模式。我们计算了宇宙学和黑洞范围附近应力 - 能量张量的预期值。结果表明,对于从几何形状上的量子场进行通用温度反应,不能忽略。因此,De Sitter-Schwarzschild时空几何形状不可避免地通过物质场的量子波动来强烈改变。
We consider quantum real massive scalar field in the de Sitter-Schwarzschild space-time backround. To have an analytic head way we study in detail the two-dimensional case, assuming that the situation in four dimensions will not be much different conceptually. It is assumed, that quantum field is in a thermal state i.e. described by the planckian distribution for the exact modes in the geometry under consideration. We calculate approximately the expectation value of stress-energy tensor near the cosmological and black hole horizons. It is shown that for a generic temperature backreaction from quantum fields on the geometry cannot be neglected. Thus, de Sitter-Schwarzschild space-time geometry inevitably is strongly modified by the quantum fluctuations of the matter fields.