Constant-mean-curvature slicing of the Schwarzschild-de Sitter space-time.
Constant-mean-curvature slicing of the Schwarzschild-de Sitter space-time.
复制标题
史瓦西-德西特时空的恒定平均曲率切片。
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
K. Oohara
中科院分区：
文献类型：
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作者：
Ken;Kei;Takashi Nakamura;K. Oohara
数值模拟不仅对引力坍缩、中子星和黑洞的形成很重要，而且对研究宇宙的高度不均匀阶段也很重要。特别是，与暴胀情景相关的“宇宙无毛猜想”是应该通过数值模拟来研究的问题之一。对于数值模拟，坐标条件是至关重要的研究物理上重要的区域的时空。对于渐近平坦的时空，常平均曲率（CMC）时间切片坐标是非常有用的。然而，为了研究宇宙学问题，我们想知道该坐标对渐近非平坦时空的适用性。对于具有渐近de Sitter空间的非齐次时空，Schwarzschild-de Sitter解是已知的。我们研究了CMC超曲面如何使Schwarzschild-de Sitter时空叶化。
Numerical simulations are important not only for gravitational collapse and formation of neutron stars and black holes but also for the purpose of investigating the highly inhomogeneous stage of our universe. In particular, the ‘cosmic no hair conjecture’ connected with the inflationary scenario is one of the issues which should be examined by numerical simulations. For the numerical simulations, the coordinate condition is crucial to investigate the physically important region of a space-time. It is well known that the constant-mean-curvature(CMC) time slicing coordinate is useful for the asymptotically flat space-time. However, in order to investigate cosmological problems, we would like to know the applicability of that coordinate for the asymptotically non-flat space-time. As for inhomogeneous space-time with an asymptotically de Sitter space, the Schwarzschild-de Sitter solution is known. We investigate how the CMC hypersurfaces foliate the Schwarzschild-de Sitter space-time.