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arXiv 1012.0077gr-qchep-thmath-phmath.MP
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二维黑洞的蒸发

Evaporation of 2-Dimensional Black Holes

Abhay Ashtekar, Frans Pretorius, Fethi M. Ramazanoğlu

摘要:

本文详细分析了在平均场近似下Callan-Giddings-Harvey-Strominger(CGHS)黑洞的量子蒸发现象。这个半经典理论包含了反作用。我们的分析和数值计算表明,虽然一些假设的基础上的标准蒸发范式是证实了,有几个没有。我们确认的预期性质之一是,半经典时空是渐近平坦的右未来零无穷大,$\spr$,但在这个意义上,零观察员在有限的仿射时间达到未来柯西视界不完整。出乎意料的行为包括,传统文献中使用的邦迪质量可以变成负值,即使视界面积是宏观的;改进的邦迪质量保持正值,直到半经典蒸发结束,但最终值可以相对于普朗克质量任意大;即使视界面积与普朗克尺度相比很大,$\spr$的量子辐射通量也是非热的。此外,如果黑洞最初是宏观的,蒸发过程表现出显着的普适性。虽然有关CGHS黑洞的文献相当丰富,但这些特征没有被以前的分析所发现,部分原因是缺乏所需的数值精度,部分原因是对模型的某些性质和对称性的误解。最后,我们的研究结果提供了支持的完整的量子方案最近开发的Ashtekar,Taveras和Varadarajan,也提供了一些有趣的问题的数学相对论和几何分析社区。

英文摘要:

We present a detailed analysis of results from a new study of the quantum evaporation of Callan-Giddings-Harvey-Strominger (CGHS) black holes within the mean-field approximation. This semi-classical theory incorporates back reaction. Our analytical and numerical calculations show that, while some of the assumptions underlying the standard evaporation paradigm are borne out, several are not. One of the anticipated properties we confirm is that the semi-classical space-time is asymptotically flat at right future null infinity, $\spr$, yet incomplete in the sense that null observers reach a future Cauchy horizon in finite affine time. Unexpected behavior includes that the Bondi mass traditionally used in the literature can become negative even when the area of the horizon is macroscopic; an improved Bondi mass remains positive until the end of semi-classical evaporation, yet the final value can be arbitrarily large relative to the Planck mass; and the flux of the quantum radiation at $\spr$ is non-thermal even when the horizon area is large compared to the Planck scale. Furthermore, if the black hole is initially macroscopic, the evaporation process exhibits remarkable universal properties. Although the literature on CGHS black holes is quite rich, these features had escaped previous analyses, in part because of lack of required numerical precision, and in part due to misinterpretation of certain properties and symmetries of the model. Finally, our results provide support for the full quantum scenario recently developed by Ashtekar, Taveras and Varadarajan, and also offer a number of interesting problems to the mathematical relativity and geometric analysis communities.

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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