基于圈量子引力的非边缘类LTB模型
Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity
摘要：
边缘LTB模型与圈量子引力的修正最近被研究的重点是潜在的奇异性分辨率。本文证实和扩展的分析在两个方面：（i）整个类的LTB模型，包括非边缘的，被认为是，和（ii）的替代程序，以获得异常自由的模型，首先实现异常自由球对称，然后LTB条件，而不是相反。虽然这两种方法给出的运动方程略有不同，但考虑到量子化模糊性的普遍存在，这并不奇怪，最终结论保持不变：与均匀模型的量子化相比，在非均匀情况下，反弹似乎不太容易出现，甚至在非均匀模型中作为特殊情况的均匀解的存在可能会被量子效应排除。然而，与边际模型相比，非边际模型似乎更有可能出现跳跃解。
英文摘要：
Marginal LTB models with corrections from loop quantum gravity have recently been studied with an emphasis on potential singularity resolution. This paper corroborates and extends the analysis in two regards: (i) the whole class of LTB models, including non-marginal ones, is considered, and (ii) an alternative procedure to derive anomaly-free models is presented which first implements anomaly-freedom in spherical symmetry and then the LTB conditions rather than the other way around. While the two methods give slightly different equations of motion, not altogether surprisingly given the ubiquitous sprawl of quantization ambiguities, final conclusions remain unchanged: Compared to quantizations of homogeneous models, bounces seem to appear less easily in inhomogeneous situations, and even the existence of homogeneous solutions as special cases in inhomogeneous models may be precluded by quantum effects. However, compared to marginal models, bouncing solutions seem more likely with non-marginal models.
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。
