极端克尔-德西特黑洞附近狄拉克场的散射理论

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2023-05-12 DOI:10.5802/aif.3553

Jack Borthwick

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引用次数: 0

摘要

在本文中，我们构造了极端Kerr-de - Sitter黑洞“双”视界附近经典大质量狄拉克场的散射理论。我们的主要工具是摩尔理论意义上共轭算子的存在性。此外，尽管旋转的影响在双视界附近被“放大”，但我们表明，人们仍然可以通过对希尔伯特空间的适当分解将我们的研究简化为一维问题。

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

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.

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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.