arXiv 0706.20412007-06-25astro-phgr-qchep-th

f（R）引力中消失的宇宙学常数

Disappearing cosmological constant in f(R) gravity

Alexei A. Starobinsky

备注：: 8 pages, footnote clarified, grammatical typo corrected, references added, final version to be published in JETPL
发表信息：: JETP Lett.86:157-163,2007
DOI：: 10.1134/S0021364007150027

摘要：

对于高阶导数f（R）引力，其中R是Ricci标量，本文提出了一类新的模型，它们能产生不同于LambdaCDM的宇宙学，并能满足宇宙学、太阳系和实验室的检验。这些模型都有平坦和德西特时空作为特殊的解决方案，在没有物质。因此，在平坦时空中，宇宙学常数为零，但在弯曲时空中，当R足够大时，它就有效地出现了。这些模型的"确凿证据"是从星系巡天和宇宙微波背景辐射波动中确定的原始扰动功率谱的斜率值之间的微小差异。另一方面，指出了基于f（R）引力的暗能量模型的一个新问题，这与该理论在非常早期的宇宙中可能产生新的大质量标量粒子（标量子）有关。

英文摘要：

For higher-derivative f(R) gravity where R is the Ricci scalar, a class of models is proposed which produce viable cosmology different from the LambdaCDM one at recent times and satisfy cosmological, Solar system and laboratory tests. These models have both flat and de Sitter space-times as particular solutions in the absence of matter. Thus, a cosmological constant is zero in flat space-time, but appears effectively in a curved one for sufficiently large R. A 'smoking gun' for these models would be small discrepancy in values of the slope of the primordial perturbation power spectrum determined from galaxy surveys and CMB fluctuations. On the other hand, a new problem for dark energy models based on f(R) gravity is pointed which is connected with possible overproduction of new massive scalar particles (scalarons) arising in this theory in the very early Universe.

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