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arXiv 2501.09536gr-qc
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黑洞的 Wind-Finslerian 结构

Wind-Finslerian structure of black holes

Hengameh R. Dehkordi, Mauricio Richartz, Alberto Saa

AI总结:

本研究利用 wind-Finslerian 结构的最新数学进展,将 Finslerian 框架扩展至黑洞视界及其内部区域,通过 Finslerian 指示线识别参考系拖曳效应与视界位置,为黑洞“河流模型”提供了新见解。

摘要:

近期,人们对稳态黑洞外部区域零测地线的 Finslerian 解释的兴趣日益增加,特别是通过 Zermelo 导航问题和 Randers 度量。在本研究中,我们展示了 wind-Finslerian 结构的最新数学进展,包括临界和强 Zermelo 导航问题及其与 Kropina 和 Lorentz-Finsler 度量的联系,使得 Finslerian 框架得以扩展,涵盖视界及其黑洞内部区域。作为该框架关键元素的 Finslerian 指示线,是识别参考系拖曳效应以及视界和能层表面位置的有效工具。我们以明确的物理实例阐明了结果,重点关注球对称黑洞、Kerr 黑洞和引力类比模型。我们的发现为黑洞的“河流模型”提供了新见解,为能层表面、视界及其内部区域的零测地线提供了增强的视觉表示。

英文摘要:

Recently, there has been an increasing interest in the Finslerian interpretation of null geodesics in the exterior regions of stationary black holes, particularly through the Zermelo navigation problem and the Randers metric. In this work, we show that recent mathematical advancements in wind-Finslerian structures, which involve the critical and strong Zermelo navigation problems and their connections to Kropina and Lorentz-Finsler metrics, enable the extension of the Finslerian framework to encompass horizons and their interior regions of black holes. The Finslerian indicatrix, a key element of this framework, serves as an effective tool for identifying frame-dragging effects and the location of horizons and ergosurfaces. We illustrate our results with explicit physical examples, focusing on spherically symmetric black holes, Kerr black holes, and analog models of gravity. Our findings provide new insights into the ``river model'' of black holes, offering enhanced visual representations of null geodesics on the ergosurfaces, horizons, and within their interior regions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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