Firewalls in general relativity
Firewalls in general relativity
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DOI：
10.1103/physrevd.99.044033
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发表时间：
2018-12
影响因子：
5
通讯作者：
D. Kaplan;S. Rajendran
中科院分区：
文献类型：
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作者：
D. Kaplan;S. Rajendran
我们给出了爱因斯坦方程的球对称解，它们在外部等价于正则Schwarzschild和Reissner-Nordstrom黑洞，但在各自的事件和内视界具有奇异(普朗克密度)壳。局部测得的壳体质量和奇异性远大于渐近的ADM质量。壳层的面积等于对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，这为黑洞熵随面积的标度提供了一个自然的解释。这种奇异壳的存在使得解决Schwarzschild黑洞的黑洞信息问题和Reissner-Nordstrom黑洞的柯西视界问题成为可能。虽然我们不能严格地解释这些解决方案的形成，但我们建议对正常的黑洞解决方案如何演变成这样的状态提出可信的论点。我们还评论了使用我们的方法可以构造负质量Schwarzschild解的可能性。对不存在负质量解的要求可能会限制紫外线引力理论中所允许的奇点类型。
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.