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arXiv 0710.2164gr-qcastro-phhep-th
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2+1维中的量子引力坍缩和霍金辐射

Quantum Gravitational Collapse and Hawking Radiation in 2+1 Dimensions

Cenalo Vaz, Sashideep Gutti, Claus Kiefer, T. P. Singh

摘要:

我们发展了2+1维负宇宙学常数的引力坍缩的正则理论,得到了在格点上正则化的Wheeler-DeWitt方程的精确解.我们利用这些解导出了所有尘埃坍缩模型中形成的黑洞的霍金辐射。我们得到了视界附近的一个近似普朗克谱,其特征为霍金温度$T_{\mathrm H}=\hbar\sqrt{GΛM}/2π$,其中$M$是黑洞的质量,它被假定形成于坍缩物质云的中心,$-Λ$是宇宙学常数.我们的惠勒-德威特方程的解决方案是准确的,所以我们能够可靠地计算灰体因子,从超越近地平线区域。

英文摘要:

We develop the canonical theory of gravitational collapse in 2+1 dimensions with a negative cosmological constant and obtain exact solutions of the Wheeler--DeWitt equation regularized on a lattice. We employ these solutions to derive the Hawking radiation from black holes formed in all models of dust collapse. We obtain an (approximate) Planck spectrum near the horizon characterized by the Hawking temperature $T_{\mathrm H}=\hbar\sqrt{GΛM}/2π$, where $M$ is the mass of a black hole that is presumed to form at the center of the collapsing matter cloud and $-Λ$ is the cosmological constant. Our solutions to the Wheeler-DeWitt equation are exact, so we are able to reliably compute the greybody factors that result from going beyond the near horizon region.

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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