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arXiv 2407.21076gr-qchep-th
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量子时空中的非奇异裸奇解

Non-singular naked solutions in quantum spacetime

I. P. R. Baranov, H. A. Borges, F. C. Sobrinho, S. Carneiro

AI总结:

本文在圈量子引力聚合物模型中研究质量小于√2/4的量子黑洞解,发现其具有最小半径但不形成视界,且仅允许带电解,拓展了普朗克尺度非奇异时空的理论图像。

摘要:

聚合物模型已被用于描述非奇异量子黑洞,其中经典奇点被从黑洞到白洞的跃迁所取代。在先前的一封信中,在具有渐近平坦外部度规的单参数模型背景下,我们通过将其面积与圈量子引力的面积间隙等同来确定跃迁表面的半径。这揭示了聚合参数对黑洞质量的依赖关系,即前者随后者减小而增大,并且这也使得该模型能够扩展到普朗克尺度的黑洞。我们已经确定了质量 $m \geq \sqrt{2}/4$ 且表面引力为零的极限态的存在,表明霍金蒸发渐近地导致普朗克尺度的残余黑洞。在本文中,我们考虑 $m < \sqrt{2}/4$ 的解,再次观察到最小半径的存在,但没有形成视界。与之前的质量范围不同,在这种情况下只允许带电解。

英文摘要:

Polymer models have been used to describe non-singular quantum black holes, where the classical singularity is replaced by a transition from a black hole to a white hole. In a previous letter, in the context of a uni-parametric model with asymptotic flat exterior metric, we fixed the radius of the transition surface through the identification of its area with the area gap of Loop Quantum Gravity. This revealed a dependence of the polymerisation parameter on the black hole mass, where the former increases as the latter decreases, and it also enabled the extension of the model to Planck-scale black holes. We have identified the existence of limiting states with masses $m \geq \sqrt{2}/4$ and zero surface gravity, showing that Hawking evaporation asymptotically leads to remnant black holes of Planck size. In the present paper we consider solutions with $m < \sqrt{2}/4$, observing again the presence of a minimal radius, but without formation of horizons. Diversely from the previous mass range, only charged solutions are allowed in this case.

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。

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