Geometry of the black-to-white hole transition within a single asymptotic region
Geometry of the black-to-white hole transition within a single asymptotic region
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DOI：
10.1103/physrevd.107.064011
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发表时间：
2023-03-15
影响因子：
5
通讯作者：
Soltani, Farshid
中科院分区：
文献类型：
--
作者：
Han, Muxin;Rovelli, Carlo;Soltani, Farshid
我们明确地写完整的洛伦兹度规的奇性自由时空的黑洞过渡到一个白色洞位于其相同的渐近区域。特别地，度量在黑色和白色视界之间插值。度规满足爱因斯坦场方程的隧道区。产生黑洞的物质由奥本海默-斯奈德模型描述，在量子区域用环量子宇宙学技术进行修正。内部的量子几何是由一个局部的Killing对称性固定的，在视界跃迁处被破坏。在大尺度上，几何形状由两个参数决定：孔的质量和过渡过程的持续时间。后者是全局几何参数。我们给出了星星外的完整度规在一个单一的坐标补丁。
We write explicitly the complete Lorentzian metric of a singularity-free spacetime where a black hole transitions into a white hole located in its same asymptotic region. In particular, the metric interpolates between the black and white horizons. The metric satisfies the Einstein field equations up to the tunneling region. The matter giving rise to the black hole is described by the Oppenheimer-Snyder model, corrected with loop-quantum-cosmology techniques in the quantum region. The interior quantum geometry is fixed by a local Killing symmetry, broken at the horizon transition. At large scale, the geometry is determined by two parameters: the mass of the hole and the duration of the transition process. The latter is a global geometrical parameter. We give the full metric outside the star in a single coordinate patch.