Scattering theory for Dirac fields near an extreme Kerr-de Sitter black hole

被引:2
作者
Borthwick, Jack A. [1 ]
机构
[1] Univ Brest, CNRS, UMR 6205, Lab Math Bretagne Atlantique, 6 Av Victor Le Gorgeu,CS 93837, F-29238 Brest 3, France
关键词
Scattering; extremal black hole; Kerr-de Sitter blackhole; Dirac equation; Mourre theory; SPINOR-STRUCTURE; SPACE-TIMES;
D O I
10.5802/aif.3553
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we construct a scattering theory for classical mas-sive 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 the-ory. 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.
引用
收藏
页码:919 / 997
页数:80
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