论文标题

更高维度的最大力量和赤裸裸的奇点

Maximum Force and Naked Singularities in Higher Dimensions

论文作者

Barrow, John D.

论文摘要

我们讨论了3+1维空间中的最大力的存在,并表明在超过三个维度的空间中,质量非依赖性最大力的存在并非发生。取而代之的是,最大力随着将物体合并为M与功率(n-3)/(n-2)的质量M增加,并允许无限的引力发生。这表明赤裸的奇异性可能在三个以上的维度上出现,因为它们在地平面表面的最大力不受保护。这为在更高维度中对裸奇异的期望创造了新的观点。

We discuss the existence of maximum forces in 3+1 dimensional spacetimes and show that the existence of a mass-independent maximum force does not occur in general relativity in spaces of more than three dimensions. Instead, the maximum force increases with the masses, M, of merging objects as M to the power (N-3)/(N-2) and allows unbounded gravitational forces to occur. This suggests that naked singularities can arise in more than three dimensions because they are unprotected by a maximum force at the horizon surface. This creates a new perspective on the expectation of naked singularities in higher dimensions.

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