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arXiv 2203.13684astro-ph.CO
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非理想自引力和宇宙学:宇宙大尺度结构动力学中相关性的重要性

Nonideal self-gravity and cosmology: the importance of correlations in the dynamics of the large-scale structures of the Universe

P. Tremblin

摘要:

受非理想自相互作用流体的统计力学中相关性作用的启发,我们提出在自引力天体物理系统的维里定理中必须考虑未解决的子结构(即相关性)。我们证明,他们的省略导致一个失踪的质量问题,通过使用半解析多方解决方案的莱恩-埃姆登方程。这个问题表明,扩展弗里德曼方程的非理想制度,考虑到相关的动力学膨胀。大尺度结构的形成所引起的关联性的增加可以自然地解释这种范式下宇宙的加速膨胀。

英文摘要:

Inspired by the role of correlations in the statistical mechanics of nonideal self-interacting fluids, we suggest that unresolved sub-structures (i.e. correlations) have to be taken into account in the Virial theorem of self-gravitating astrophysical systems. We demonstrate that their omission leads to a missing mass problem by using the semi-analytic polytropic solutions of the Lane-Emden equation. This problem suggests to extend the Friedmann equations to the nonideal regime by taking into account correlations in the dynamics of the expansion. The increase of correlations induced by the formation of the large-scale structures could explain naturally the accelerated expansion of the Universe in such a paradigm.

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