论文标题
量子校正的空间时间的奇异性
Singularities in Quantum Corrected Space-times
论文作者
论文摘要
在本文中,我们考虑了一种静态和规则的流体,该流体产生了局部球形对称和时间无关的时空,并计算出对曲率一阶度量指标的领先量子校正。从奇异性的自由经典解决方案开始,我们表明奇异性可以通过使用有效的田间理论方法来计算的量子重力方法在曲率不变性中引入曲率不变性。我们确定了非平凡的条件,以确保曲率不变性保持奇异性,以在有效作用的曲率扩展中领先秩序。
In this paper we consider a static and regular fluid generating a locally spherically symmetric and time-independent space-time and calculate the leading quantum corrections to the metric to first order in curvature. Starting from a singularity free classical solution of general relativity, we show that singularities can be introduced in the curvature invariants by quantum gravitational corrections calculated using an effective field theory approach to quantum gravity. We identify non-trivial conditions that ensure that curvature invariants remain singularity free to leading order in the curvature expansion of the effective action.