Effect of loop quantization prescriptions on the physics of non-singular gravitational collapse
Effect of loop quantization prescriptions on the physics of non-singular gravitational collapse
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环路量子化方案对非奇异引力塌缩物理学的影响
DOI：
10.1142/9789811269776_0357
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Singh, Parampreet
中科院分区：
文献类型：
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作者：
Giesel, Kristina;Li, Bao-Fei;Singh, Parampreet
我们回顾了均匀尘埃云内部的两种环路量化策略的物理含义的最新进展。第一个是使用完整函数和三元组的循环量化，而第二个是使用完整函数和规范协变通量。尽管无论初始条件如何，这两种量化方案都可以解决经典的中心奇点，但它们也导致了独特的现象学。对于第一个循环量化，我们发现当尘埃质量大于阈值时，黑洞和白洞都会形成，并且它们的演化关于弹跳点是对称的，从而导致黑洞-白洞孪生。相比之下，在第二次量子化中，最外层尘埃壳的演化相对于弹跳点是不对称的，因此永远无法形成黑洞-白洞双胞胎。即使在黑洞和白洞同时形成的情况下，后者的质量也仅为前者质量的2/π。
We review recent developments in the physical implications of two loop quantization strategies for the interior of a homogeneous dust cloud. The first is the loop quantization with holonomies and the triads while the second is with holonomies and the gauge covariant fluxes. Although both of the quantization schemes resolve the classical central singularity regardless of the initial conditions, they also lead to a distinct phenomenology. For the first loop quantization, we find that when the dust mass is larger than a threshold value, both black hole and white hole would form and their evolution is symmetric with respect to the bounce point, leading to black hole-white hole twins. In contrast, in the second quantization, the evolution of the outermost dust shell is asymmetric with respect to the bounce point, and as a result the black hole-white hole twins can never form. Even in the situation when both black hole and white hole can form, the mass of the latter is only 2/πof the mass of the former.