论文标题

量子Oppenheimer-Snyder模型

Quantum Oppenheimer-Snyder model

论文作者

Piechocki, Włodzimierz, Schmitz, Tim

论文摘要

我们使用仿射相干状态量化,分别为Oppenheimer-Snyder模型构建了两个降低的量子理论,分别采用了Comoving和外部固定观察者的观点。对量子校正动力学的研究表明,两个观察者都可以看到反弹,尽管对于外部观察者,必须正确选择某些量化歧义。从固定观察者看,这种弹跳的最小半径始终显示在光子球体之外。讨论了降低这种最小半径并作为崩溃中的中间状态降低这一最小半径并恢复黑洞的可能途径。我们进一步证明,可以通过修改换向关系来实现量子理论级别的观察者之间的切换。

We construct two reduced quantum theories for the Oppenheimer-Snyder model, respectively taking the point of view of the comoving and the exterior stationary observer, using affine coherent states quantization. Investigations of the quantum corrected dynamics reveal that both observers can see a bounce, although for the exterior observer certain quantization ambiguities have to be chosen correctly. The minimal radius for this bounce as seen from the stationary observer is then shown to always be outside of the photon sphere. Possible avenues to lower this minimal radius and reclaim black holes as an intermediate state in the collapse are discussed. We demonstrate further that switching between the observers at the level of the quantum theories can be achieved by modifying the commutation relations.

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