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arXiv 1812.00536hep-thgr-qchep-ph
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广义相对论中的防火墙

Firewalls in General Relativity

David E. Kaplan, Surjeet Rajendran

摘要:

我们提出了球对称的解决方案,爱因斯坦方程是相当于典型的史瓦西和Reissner-Nordstrom黑洞的外部,但奇异(普朗克密度)壳在各自的事件和内部的视野。壳的局部测量质量和奇点远大于渐近ADM质量。壳层的面积等于相应的正则黑洞的面积,但从壳层到奇点的物理距离是普朗克长度,这表明了黑洞熵随面积缩放的自然解释。这种奇异壳的存在使得Schwarzschild黑洞的黑洞信息问题和Reissner-Nordstrom黑洞的Cauchy视界问题的解成为可能。虽然我们不能严格地解决这些解决方案的形成,我们建议如何正常的黑洞解可能演变成这样的国家的可解释性参数。我们还评论的可能性,可以使用我们的方法构建负质量史瓦西解。不存在负质量解的要求可能会限制紫外线引力理论所允许的奇点类型。

英文摘要:

We present spherically symmetric solutions to Einstein's equations which are equivalent to canonical Schwarzschild and Reissner-Nordstrom black holes on the exterior, but with singular (Planck-density) shells at their respective event and inner horizons. The locally measured mass of the shell and the singularity are much larger than the asymptotic ADM mass. The area of the shell is equal to that of the corresponding canonical black hole, but the physical distance from the shell to the singularity is a Planck length, suggesting a natural explanation for the scaling of the black hole entropy with area. The existence of such singular shells enables solutions to the black hole information problem of Schwarzschild black holes and the Cauchy horizon problem of Reissner-Nordstrom black holes. While we cannot rigorously address the formation of these solutions, we suggest plausibility arguments for how normal black hole solutions may evolve into such states. We also comment on the possibility of negative mass Schwarzschild solutions that could be constructed using our methods. Requirements for the non-existence of negative-mass solutions may put restrictions on the types of singularities allowed in an ultraviolet theory of gravity.

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