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arXiv 2501.11642gr-qchep-th
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黑洞弦和Kaluza-Klein气泡的初始数据:空间依赖的紧致化半径

Initial data for a black string and a Kaluza-Klein bubble: Space-dependent compactification radius

Hirotaka Yoshino

AI总结:

本文通过数值相对论生成了具有空间依赖紧致化半径的黑洞弦和KK气泡的时间对称初始数据,分为三类:SO(3)对称解析数据、多黑洞弦推广数据及不同位置分布的数值方法,为模拟额外维非线性动力学奠定基础。

摘要:

作为通过数值相对论探索带有黑洞物体的Kaluza-Klein(KK)时空中额外维非线性动力学的第一步,我们生成了具有空间依赖紧致化半径的黑洞弦和/或KK气泡的时间对称初始数据。本文开发的初始数据分为三类。首先,我们给出了具有SO(3)对称性的解析初始数据,其三维截面是球对称的。这些初始数据包括没有KK气泡的黑洞弦、捕获KK气泡的黑洞弦以及裸KK气泡。其次,我们给出了具有变化紧致化半径的多个黑洞弦的解析初始数据,这是四维广义相对论中Brill-Lindquist初始数据的自然推广。最后,我们开发了一种数值方法,用于生成位于不同位置的黑洞弦和KK气泡的初始数据,这在模拟动力学背景下膨胀的KK气泡遇到黑洞物体时发生的情况时将是有用的。

英文摘要:

As the first step to explore the nonlinear dynamics of an extra dimension in the Kaluza-Klein (KK) spacetime with black objects through numerical relativity, we generate time-symmetric initial data of a black string and/or a KK bubble with space-dependent compactification radius. The initial data developed in this paper are classified into three types. First, we present analytic initial data with SO(3) symmetry whose three-dimensional section is spherically symmetric. These initial data include a black string without a KK bubble, a black string trapping a KK bubble, and a naked KK bubble. Second, we present analytic initial data for multiple black strings with varying compactification radius, which is a natural generalization of the Brill-Lindquist initial data for four-dimensional general relativity. Finally, we develop a numerical method for generating the initial data with a black string and a KK bubble located at different positions, which would be useful in simulating what happens when an expanding KK bubble meets black objects in dynamical context.

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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