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arXiv 1306.1389gr-qcastro-ph.CO
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黑洞宇宙:时间演化

Black Hole Universe: Time Evolution

Chul-Moon Yoo, Hirotada Okawa, Ken-ichi Nakao

摘要:

模拟了黑洞格点宇宙的时间演化。本文数值求解了原点为黑洞的立方盒子中的真空爱因斯坦方程组,在所有对立面上施加周期性边界条件。定义有效的尺度因子,通过使用表面的面积和立方盒的边的长度,我们比较它们与爱因斯坦deSitter宇宙。结果表明,有效标度因子的行为与Einstein-deSitter宇宙中的行为非常接近。我们的结果表明,即使局部不均匀性是极端非线性的,局部不均匀性也不会显著影响宇宙的整体膨胀定律。

英文摘要:

Time evolution of a black hole lattice universe is simulated. The vacuum Einstein equations in a cubic box with a black hole at the origin are numerically solved with periodic boundary conditions on all pairs of opposite faces. Defining effective scale factors by using the area of a surface and the length of an edge of the cubic box, we compare them with that in the Einstein-deSitter universe. It is found that the behaviour of the effective scale factors is well approximated by that in the Einstein-deSitter universe. Our result suggests that local inhomogeneities do not significantly affect the global expansion law of the universe even if the inhomogeneity is extremely nonlinear.

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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