arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1209.0428gr-qchep-thquant-ph
收藏

Reissner-Nordström黑洞的量子化及其非奇异量子行为

Quantization of Reissner-Nordström Black Holes and Their Non-Singular Quantum Behavior

Mojtaba Taslimi Tehran, Hoshang Heydari

备注：
To be published in the proceeding of Quantum Theory: Reconsideration of Foundations-6 (QTRF-6)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

Reissner-Nordström时空（带电黑洞）不同区域的量子化是在圈量子引力的框架下完成的。Reissner-Nordström时空的几何是用构成这种黑洞经典相空间的Ashtekar变量来表示的。利用相空间的圈量子化方法，解决了这类黑洞的奇异性回避问题;基于圈量子引力的球对称约化模型，构造了带电黑洞标量曲率发散因子的算子模拟，并证明了该算子模拟具有上界谱.这个局部判据与全局判据（非奇异量子演化方程）一起证明了对称约化圈量子引力模型中带电黑洞奇异性的避免。

英文摘要：

Quantization of different regions of the Reissner-Nordström space time (charged black hole) is done in the framework of loop quantum gravity. The geometry of Reissner-Nordström space-time is expressed in terms of Ashtekar variables which form the classical phase space of such a black hole. Using the loop quantization of phase space, the issue of singularity avoidance of such a black hole is addressed; based on spherically symmetry reduced models of loop quantum gravity, the operator analogue of the diverging factor of scalar curvature of the charged black hole is constructed and is shown to exhibit an upper bounded spectrum. This local criterion, together with the global one (non-singular quantum evolution equation) proves the avoidance of charged black hole singularity in symmetry reduced models of loop quantum gravity.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑