论文标题

聚合物量子黑洞的通用特征

Generic features of a polymer quantum black hole

论文作者

Münch, Johannes, Perez, Alejandro, Speziale, Simone, Viollet, Sami

论文摘要

非单明的黑洞模型可以通过循环量子重力动机的修改经典方程来描述。我们研究了通常在修饰中使用的正弦函数被任意有界函数所取代时会发生什么,这是一种概括,旨在研究歧义的效果,例如选择自律的代表。可以确定许多功能,而无需提出特定的功能选择。我们发现通用的奇异性分辨率。地平线的存在和数量是由将连接的角组件正规化的函数的全局特征确定的,以及通过函数的全局特征正规化时间组件的全局特征的存在和数量。地平线内部区域的陷阱或反捕获性质取决于最终弹跳的相对位置。我们使用这些结果来评论聚合物黑洞模型的某些歧义。

Non-singular black holes models can be described by modified classical equations motivated by loop quantum gravity. We investigate what happens when the sine function typically used in the modification is replaced by an arbitrary bounded function, a generalization meant to study the effect of ambiguities such as the choice of representation of the holonomy. A number of features can be determined without committing to a specific choice of functions. We find generic singularity resolution. The presence and number of horizons is determined by global features of the function regularizing the angular components of the connection, and the presence and number of bounces by global features of the function regularizing the time component. The trapping or anti-trapping nature of regions inside horizons depends on the relative location with respect to eventual bounces. We use these results to comment on some of the ambiguities of polymer black hole models.

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