Models and Applications of Loop Quantum Gravity

对称解和相关模型提供了从经典或量子引力中提取物理信息的一些主要方法。 几种技术来构建代表性的模型已经开发了一个当前的候选人之一的量子引力理论，圈量子引力。 对于现实的情况下，这是从来没有完全对称，更一般的配方包含至少小值的一般领域，如不均匀性将被开发。 这是必不可少的，例如，宇宙学观测中的预测或理解黑洞的性质。 将对由此产生的方程进行分析，以便对一般框架以及可能的可观察效应进行一致性检验。由于引力的量子理论仍在发展中，任何关于可能候选者行为的信息，特别是在物理场景中，将有助于引导理论建设。反过来，量子引力被广泛认为是在基本水平上理解宇宙的关键。 这尤其适用于宇宙学和黑洞这两个主要的应用领域，它们受到公众的广泛关注。 这里开发的模型允许开发直观的解释，使这种广泛的传播成为可能。 在简化复杂的完整理论时，合适的模型也为新进入该领域的学生或研究人员提供了理想的切入点。

Symmetric solutions and related models present some of the main methods to extract physical information from classical or quantum gravity. Several techniques to construct representative models have been developed for one of the current candidates for a quantum theory of gravity, loop quantum gravity. For realistic situations, which are never exactly symmetric, more general formulations containing at least small values of general fields such as inhomogeneities will be developed. This is essential for, e.g., predictions in cosmological observations or to understand properties of black holes. An analysis of the resulting equations will be carried out in order to arrive at consistency tests of the general framework as well as possible observable effects.Since quantum theories of gravity are still being developed, any information on the behavior of possible candidates, in particular in physical scenarios, will help to lead the theoretical construction. Quantum gravity, in turn, is widely believed to be essential for the understanding of the universe at a fundamental level. This applies in particular to the two main areas of applications, cosmology and black holes, which receive wide interest in the general public. Models as developed here allow the development of intuitive explanations which make such a broad dissemination possible. In simplifying the complex full theories, suitable models also provide ideal entry points for students or researchers new to the field.