arXiv 1301.52182013-01gr-qcastro-ph.HEhep-phhep-th

Kaluza-Klein模型中的多体问题：理论和观测结果

Many-body problem in Kaluza-Klein models: theory and observational consequences

Alexey Chopovsky, Maxim Eingorn, Alexander Zhuk

备注：: Eqs. (16), (21), (23) and (24) corrected. Title, abstract, introduction and conclusions changed. New section and references added. arXiv admin note: substantial text overlap with arXiv:1302.0501

摘要：

本文考虑了具有额外维的环面紧化的Kaluza-Klein模型中的引力体系统。为了模拟天体物理对象（例如，我们的太阳和恒星）的能量密度远大于压力，我们假设这些天体在外部/我们的空间中是无压的。同时，它们可以具有非零参数ω_{（\bar α-3）} 1，（\bar α=4，.，D）额外维度中的状态方程。我们构造了这个多体系统的Lagrange函数，其中θ = \sum_{\barα} ω_{（\bar α-3）}为任意值。此外，重力测试（PPN参数，近日点/近星点推进）要求与潜在孤立子值的偏差可以忽略不计=-（D-3）/2。然而，内部空间中压力/张力的存在必然导致内部空间上的引力质量的涂抹，并且不存在KK模式。从量子物理学的角度来看，这看起来非常不自然。

英文摘要：

We consider a system of gravitating bodies in Kaluza-Klein models with toroidal compactification of extra dimensions. To simulate the astrophysical objects (e.g., our Sun and pulsars) with the energy density much greater than the pressure, we suppose that these bodies are pressureless in the external/our space. At the same time, they may have nonzero parameters ω_{(\barα-3)} \, (\barα=4,...,D) of the equations of state in the extra dimensions. We construct the Lagrange function of this many-body system for any value of Σ=\sum_{\barα} ω_{(\barα-3)}. Moreover, the gravitational tests (PPN parameters, perihelion/periastron advance) require negligible deviation from the latent soliton value Σ=-(D-3)/2. However, the presence of pressure/tension in the internal space results necessarily in the smearing of the gravitating masses over the internal space and in the absence of the KK modes. This looks very unnatural from the point of quantum physics.

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摘要：

英文摘要：

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