论文标题
极端Kerr-de Sitter Black Black Hole的零散田地的散射理论
Scattering theory for Dirac fields near an extreme Kerr-de Sitter black hole
论文作者
论文摘要
在本文中,我们构建了一个散射理论,用于在极端的Kerr-De Sitter Blackhole的“双重”地平线附近的经典大型迪拉克场。我们的主要工具是在穆雷理论意义上存在共轭操作员。此外,尽管旋转的效果在双层地平线附近被“放大”,但我们表明,通过对希尔伯特空间的适当分解,人们仍然可以将研究减少到一维问题。
In this paper, we construct a scattering theory for classical massive Dirac fields near the "double" horizon of an extreme Kerr-de Sitter blackhole. Our main tool is the existence of a conjugate operator in the sense of Mourre theory. Additionally, despite the fact that effects of the rotation are 'amplified' near the double horizon, we show that one can still reduce our study to a 1-dimensional problem through an appropriate decomposition of the Hilbert space.