克尔空间中不存在封闭的时间似大地线

arXiv - MATH - Differential Geometry Pub Date : 2024-09-12 DOI:arxiv-2409.09094

Giulio Sanzeni

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引用次数: 0

摘要

克尔星时空是克尔时空在地平线和负径向区域的延伸。尽管在内层地平线以下存在封闭的类时间曲线，我们还是证明了类时间大地线在克尔星时空中不可能是封闭的。由于作者在Sanzeni[arXiv:2308.09631v3 (2024)]中排除了封闭空大地线的存在，这一结果表明在克尔星时空中不存在封闭因果大地线。

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Nonexistence of closed timelike geodesics in Kerr spacetimes

The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the Kerr spacetime. Despite the presence of closed timelike curves below the inner horizon, we prove that the timelike geodesics cannot be closed in the Kerr-star spacetime. Since the existence of closed null geodesics was ruled out by the author in Sanzeni [arXiv:2308.09631v3 (2024)], this result shows the absence of closed causal geodesics in the Kerr-star spacetime.

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arXiv - MATH - Differential Geometry

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