论文标题
黑洞作为量子场配置
Black Hole as a Quantum Field Configuration
论文作者
论文摘要
我们通过求解半古典爱因斯坦方程$ g_ {μν} =8πg\langleψ| t_ {μν} |ψ\ rangle $和量子问题领域，以自我统一的方式将4D蒸发为量子场配置。作为物质字段，我们考虑了$ n $ sosseless的免费标量字段（$ n $很大）。我们找到了公制$ g_ {μν} $和状态$ |ψ\ rangle $的球形对称自洽解决方案。在这里，$ g_ {μν} $是本地$ ads_2 \ times s^2 $几何，$ |ψ\ rangle $提供$ \langleψ| t_ {μν} |ψ\ψ $ | 0 \ rangle $是公制中物质字段的基态，$ t_ {μν}^{（ψ）} $由S波的激发组成，这些激发描述了描述崩溃的物质和与Ingo的负能量流相崩溃的辐射。由于具有较大的角动量的界模式的真空波动，该对象由巨大的切向压力$ \ langle0 | t^θ_θ| 0 \ rangle $支持。这描述了当考虑蒸发的背部反应时，黑洞的内部。黑洞是一个紧凑的物体，具有表面（代替地平线），看起来像是从外部的传统黑洞，最终蒸发而没有奇异性。如果我们计算$ \ {|ψ\ rangle \} $的自洽配置的数量，我们将重现熵的区域定律。这说明信息是由黑洞内的S波携带的。 $ |ψ\ rangle $还描述了一个过程，即用鹰辐射产生的负ingoing能量流在崩溃的物质上超级实现，以减少总能量，而总能量密度保持正值。作为一种特殊情况，我们考虑了共形物质领域，并表明内部度量标准取决于理论的物质内容，这导致对物质内容的新约束。
We describe 4D evaporating black holes as quantum field configurations by solving the semi-classical Einstein equation $G_{μν}=8πG \langle ψ|T_{μν}|ψ\rangle$ and quantum matter fields in a self-consistent manner. As the matter fields we consider $N$ massless free scalar fields ($N$ is large). We find a spherically symmetric self-consistent solution of the metric $g_{μν}$ and state $|ψ\rangle$. Here, $g_{μν}$ is locally $AdS_2\times S^2$ geometry, and $|ψ\rangle$ provides $\langle ψ|T_{μν}|ψ\rangle=\langle0|T_{μν}|0 \rangle+T_{μν}^{(ψ)}$, where $|0\rangle$ is the ground state of the matter fields in the metric and $T_{μν}^{(ψ)}$ consists of the excitation of s-waves that describe the collapsing matter and Hawking radiation with the ingoing negative energy flow. This object is supported by a large tangential pressure $\langle0|T^θ_θ|0 \rangle$ due to the vacuum fluctuation of the bound modes with large angular momenta. This describes the interior of the black hole when the back reaction of the evaporation is considered. The black hole is a compact object with a surface (instead of horizon) that looks like a conventional black hole from the outside and eventually evaporates without a singularity. If we count the number of self-consistent configurations $\{|ψ\rangle\}$, we reproduce the area law of the entropy. This tells that the information is carried by the s-waves inside the black hole. $|ψ\rangle$ also describes the process that the negative ingoing energy flow created with Hawking radiation is superposed on the collapsing matter to decrease the total energy while the total energy density remains positive. As a special case, we consider conformal matter fields and show that the interior metric is determined by the matter content of the theory, which leads to a new constraint to the matter content.
