Spacetime singularity has always been of interest since the proof of the Penrose-Hawking singularity theorem. Naked singularity naturally emerges from reasonable initial conditions in the collapsing process. A recent interesting approach in black hole information problem implies that we need a firewall to break the surplus entanglements among the Hawking photons. Classically, the firewall becomes a naked singularity. We find some vacuum analytical solutions in R n-gravity of the firewall-type and use these solutions as concrete models to study the naked singularities. By using standard quantum theory, we investigate the Hawking radiation emitted from the black holes with naked singularities. Here we show that the singularity itself does not destroy information. A unitary quantum theory works well around a firewall-type singularity. We discuss the validity of our result in general relativity. Further our result demonstrates that the temperature of the Hawking radiation still can be expressed in the form of the surface gravity divided by 2π. This indicates that a naked singularity may not compromise the Hakwing evaporation process.
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机译:自从Penrose-Hawking奇异性定理证明以来,时空奇异性一直备受关注。在崩溃过程中,合理的初始条件自然会产生裸奇点。最近在黑洞信息问题中一种有趣的方法意味着我们需要一个防火墙来打破霍金光子之间的多余纠缠。传统上,防火墙变成裸露的奇点。我们在防火墙类型的R n sup>重力中找到了一些真空分析解决方案,并将这些解决方案用作研究裸奇点的具体模型。通过使用标准量子理论,我们研究了具有裸奇点的黑洞发出的霍金辐射。在这里,我们表明奇异性本身不会破坏信息。单一量子理论在防火墙类型的奇点周围运作良好。我们讨论广义相对论中我们的结果的有效性。我们的结果进一步表明,霍金辐射的温度仍可以用表面重力除以2π的形式表示。这表明裸露的奇异性可能不会损害Hakwing蒸发过程。
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