论文标题
Kerr Spacetime及其Hadamard财产的无质量费米斯的分离状态
The Unruh state for massless fermions on Kerr spacetime and its Hadamard property
论文作者
论文摘要
在缓慢旋转的Kerr空间上，我们在无质量的狄拉克场的环境中对unuh状态进行了严格的定义。在黑洞的外部区域，我们表明它是在过去的事件范围内在鹰温度下渐近的热量。此外，我们证明，在外部和内部区域的结合中，Unruh状态是纯净的，哈达玛。主要的成分是Häfner-Nicolas散射理论，特征性库奇问题的新微局部估计以及方形溶液水平上的标准。
We give a rigorous definition of the Unruh state in the setting of massless Dirac fields on slowly rotating Kerr spacetimes. In the black hole exterior region, we show that it is asymptotically thermal at Hawking temperature on the past event horizon. Furthermore, we demonstrate that in the union of the exterior and interior regions, the Unruh state is pure and Hadamard. The main ingredients are the Häfner-Nicolas scattering theory, new microlocal estimates for characteristic Cauchy problems and criteria on the level of square-integrable solutions.
