Ashtekar-Olmedo-Singh黑洞内部的两次替代
Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
摘要:
我们调查的可行性最近提出的推广的Ashtekar-Olmedo-Singh时空的有效描述的内部区域的史瓦西黑洞的圈量子宇宙学的框架内。该方法是基于选择的聚合参数,这是更一般的比以前考虑的文献中,并在自然的外观的两个时间来描述的解决方案的结果。如果有兴趣研究从这个模型导出的物理学,则必须确保在所考虑的整个区域中可以获得定义良好的有效几何形状,特别是关于两个时间的冗余度,这需要用单个时间坐标来表示。为了确定是否满足这一要求,我们分析了这些时间的定义及其关系。我们表明,人们可以达到一个可接受的内部时空几何利用自由定义的起源的两个时间独立。
英文摘要:
We investigate the viability of a recently proposed generalization of the Ashtekar-Olmedo-Singh spacetime for the effective description of the interior region of a Schwarzschild black hole within the framework of loop quantum cosmology. The approach is based on a choice of polymerization parameters that is more general than the ones previously considered in the literature and that results in the natural appearance of two times to describe the solutions. If one is interested in examining the physics derived from this model, it is fundamental to ensure that one can attain a well-defined effective geometry in the whole region under consideration, in particular as regards the redundancy of the two times, which one needs to express in terms of a single time coordinate. In order to determine whether this requirement is met, we analyze the definition of these times and their relation. We show that one can reach an acceptable interior spacetime geometry by exploiting the freedom to define the origins of the two times independently.
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