各向异性伪黎曼四维时空中的混沌流和宇宙发电机
Chaotic flows and cosmic dynamos in anisotropic pseudo-Riemannian four-dimensional spacetime
摘要：
结果表明，在Bianchi IX型旋转宇宙学模型中，宇宙运动学快速发电机的存在面临着严重的困难，这是由于在这些模型中，旋转无边界地增加，这是严格禁止的CMB天文数据，它对它的旋转施加了很强的限制，相对于它的快速膨胀。解决这个难题的唯一方法是假设这个各向异性宇宙的膨胀方向中至少有一个方向的衰减速度与原始磁场的放大速度一样快。一个解决方案是找到只有一个方向的各向异性宇宙膨胀，而其他两个保持不变。我们计算在比安奇九世退化为德西特度量的情况下种子磁场的放大，在宇宙学常数为$|Λ|<10^{33}s^{-2}$量级，宇宙年龄为10 ^{10}年的情况下，旋涡星系中的场从10^{-6}G放大到10 ^{-5}G。代表卡斯纳各向异性非奇异宇宙的黎曼时空。
英文摘要：
It is shown that the existence of the cosmic kinematic fast dynamos in Bianchi type IX rotating cosmological models, faces severe difficulties, due to the fact that in these models rotation increases without bounds, which is strictly forbidden by CMB astronomical date which imposes strong bounds on its rotation with respect with its rapid expansion. The only way out of this difficulty is to assume that at least one of the expansion directions of this anisotropic universe decays as fast as the amplification rate of primordial magnetic fields. A solution is found where only one direction of the anisotropic universe expands while the other two remain constants. We compute an amplification of the seed magnetic field in the case where Bianchi IX degenerates into de Sitter metric, fields amplify from 10^{-6}G to 10^{-5}G in spiral galaxies for a cosmological constant of the order $|Λ|<10^{33}s^{-2}$ and considering that the age of universe of the order of 10^{10}yrs. Another example is given by the ABC chaotic flows in the pseudo-Riemannian spacetime representing the Kasner anisotropic nonsingular universe.
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