arXiv 1111.72312011-11-30gr-qc

多维宇宙学理论中附加维的紧化问题

The Compactification Problems of Additional Dimensions in Multidimensional Cosmological Theories

Tamerlan Saidov

备注：: 126 pages, 33 figures; the PhD thesis for physical and mathematical science

摘要：

宇宙的多维性是现代物理学中最有趣的假设之一。它自然地从用引力统一不同的基本相互作用的理论中得出，例如M/弦论。在过去的几年里，这个想法再次受到了极大的关注。不过，这也带来了一系列的附加问题。根据观测，至少从原始核合成开始，内部空间应该是静态的或接近静态的，否则基本物理常数就会发生变化。这意味着，在宇宙目前的演化阶段，有两种可能性：内部空间尺度参数的缓慢变化或紧致化。在最近的许多研究中，额外维度稳定化问题被研究为所谓的ADD。在这些方法下，外部时空的大质量标量场（引力子或辐射子）可以被呈现为共形激发。在上面提到的作品，它被假定为多维行动是线性的曲率。虽然引力作用量是从弦论推导出来的，但需要推广到非线性作用量。为了研究非线性的影响，在这篇论文中，将研究一个多维拉格朗日量，具有的形式L = f（R），其中f（R）是一个任意光滑的函数的标量曲率。

英文摘要：

Multidimensionality of our Universe is one of the most intriguing assumption in modern physics. It follows naturally from theories unifying different fundamental interactions with gravity, e.g. M/string theory. The idea has received a great deal of renewed attention over the last few years. However, it also brings a row of additional questions. According to observations the internal space should be static or nearly static at least from the time of primordial nucleosynthesis, otherwise the fundamental physical constants would vary. This means that at the present evolutionary stage of the Universe there are two possibilities: slow variation or compactification of internal space scale parameters. In many recent studies the problem of extra dimensions stabilization was studied for so-called ADD. Under these approaches a massive scalar fields (gravitons or radions) of external space-time can be presented as conformal excitations. In above mentioned works it was assumed that multidimensional action to be linear with respect to curvature. Although as follows from string theory, the gravity action needs to be extended to nonlinear one. In order to investigate effects of nonlinearity, in this Thesis a multidimensional Lagrangian will be studied, having the form L = f(R), where f(R) is an arbitrary smooth function of the scalar curvature.

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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