论文标题

新的各向异性突然的奇点和尺寸降低

New Anisotropic Sudden Singularities and Dimensional Reduction

论文作者

Barrow, John D.

论文摘要

我们证明了具有恒定尺度因子,膨胀率和密度的突然,有限的奇异性的存在,并在具有游离各向异性压力的Bianchi IX型宇宙中存在。由于压力的分歧可能是桶形或煎饼类型,因此出现了一种新型的非同性各向异性突然奇异性。一个或多个膨胀方向撞击突然的奇点的影响与尺寸的减小有关,因为非单明方向继续扩展,并且可以看到他们过去的突然奇异性。

We demonstrate the existence of sudden, finite-time, singularities, with constant scale factor, expansion rate and density, in expanding Bianchi type IX universes with free anisotropic pressures. A new type of non-simultaneous anisotropic sudden singularity arises because of the divergences of the pressures, which may be of barrel or pancake type. The effect of one or more directions of expansion hitting a sudden singularity is tantamount to dimensional reductions as the non-singular directions continue expanding and can see the sudden singularity in their past.

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