克尔空间中封闭有界空大地线的不存在性

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-11-04 DOI:10.1007/s11005-024-01875-z

Giulio Sanzeni

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引用次数: 0

摘要

克尔星时空是缓慢旋转的克尔黑洞在地平线和负径向区域的延伸。众所周知，在内层视界以下，既存在时间类封闭曲线，也存在空（类光）封闭曲线。然而，我们证明了空大地线既不可能是封闭的，甚至也不可能包含在克尔星时空的紧凑子集中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Nonexistence of closed and bounded null geodesics in Kerr spacetimes

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Nonexistence of closed and bounded null geodesics in Kerr spacetimes

The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the slowly rotating Kerr black hole. It is known that below the inner horizon, there exist both timelike and null (lightlike) closed curves. Nevertheless, we prove that null geodesics can be neither closed nor even contained in a compact subset of the Kerr-star spacetime.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.