Interior metric of slowly formed black holes in a heat bath
Interior metric of slowly formed black holes in a heat bath
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DOI：
10.1103/physrevd.105.045017
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发表时间：
2021-08
影响因子：
5
通讯作者：
H. Kawai;Y. Yokokura
中科院分区：
文献类型：
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作者：
H. Kawai;Y. Yokokura
我们在普通场论的背景下研究了一个在热浴中缓慢形成的球形黑洞，我们期望它具有黑洞的典型性质。我们假设物质场是共形的，度规满足半经典爱因斯坦方程Gμν = 8πG μ ν| Tμν|在哪里？|波函数是物质场的波函数。则作为必要条件，它的迹部分必须满足Gμ = 8πG μ| T μ|，其右手边独立于|它是唯一由通过四维Weyl异常的度量确定的。通过一些物理上合理的假设，这个方程将内部度量限制在某个类。这样的度量是AdS2和S2的近似翘曲乘积，具有几乎普朗克曲率。其中，我们发现一个是一致的霍金辐射，并顺利地连接到外部史瓦西度规略外的史瓦西半径。这导致了这样一种图像，即黑洞是一个具有表面（而不是视界）的致密物体，当从浴缸中取出时，由于霍金辐射而蒸发。其他的解决方案代表了比黑洞更大的物体，这可能有助于分析超密度恒星。
We study a spherical black hole formed slowly in a heat bath in the context of ordinary field theory, which we expect to have the typical properties of black holes. We assume that the matter field is conformal and that the metric satisfies the semi-classical Einstein equation Gμν = 8πG〈ψ|Tμν |ψ〉, where |ψ〉 is the wave function of the matter field. Then as a necessary condition, its trace part must be satisfied, Gμ = 8πG〈ψ|T μ|ψ〉, whose right-hand side is independent of |ψ〉 and is determined only by the metric through the 4-dimensional Weyl anomaly. With some physically reasonable assumptions, this equation restricts the interior metric to a certain class. Such metrics are approximately warped products of AdS2 and S 2 with almost Planckian curvature. Among them, we find one that is consistent with Hawking radiation and is smoothly connected to the exterior Schwarzschild metric slightly outside the Schwarzschild radius. This leads to a picture that the black hole is a dense object with a surface (not a horizon), which evaporates due to Hawking-like radiation when taken out of the bath. Other solutions represent objects that are larger in size than a black hole, which may be useful for analyzing ultra-dense stars.