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arXiv 0709.1622astro-phgr-qchep-phhep-th
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暗能量、标量曲率耦合和临界加速度标度

Dark Energy, scalar-curvature couplings and a critical acceleration scale

Ignacio Navarro

摘要:

研究了高阶曲率项与宇宙学滚动标量场的耦合效应。我们表明,当理论的强耦合尺度在10^{-3}-10 ^{-1}eV的范围内时,即使场的质量与真空中的哈勃尺度相当,并且与SM场的耦合是非抑制的,模型也通过了关于第五种力存在的所有实验界限。原因是,耦合到一定的曲率不变的行为作为一个有效的质量,在大曲率的区域增长。这防止了场在源附近向下滚动,并使其对在实验室中进行的第五力搜索实验的影响仅在亚毫米尺度上可观察到。我们得到的静态球对称的解决方案的理论,并表明,一个长程力出现,但它是打开只有低于一个固定的牛顿加速度尺度的顺序的哈勃常数。我们评论的可能性,利用这一特点的模型,以减轻清洁发展机制小规模的危机,其可能的关系MOND。

英文摘要:

We study the effects of coupling a cosmologically rolling scalar field to higher order curvature terms. We show that when the strong coupling scale of the theory is on the 10^{-3}-10^{-1}eV range, the model passes all experimental bounds on the existence of fifth forces even if the field has a mass of the order of the Hubble scale in vacuum and non-suppressed couplings to SM fields. The reason is that the coupling to certain curvature invariant acts as an effective mass that grows in regions of large curvature. This prevents the field from rolling down its potential near sources and makes its effects on fifth-force search experiments performed in the laboratory to be observable only at the sub-mm scale. We obtain the static spherically symmetric solutions of the theory and show that a long-range force appears but it is turned on only below a fixed Newtonian acceleration scale of the order of the Hubble constant. We comment on the possibility of using this feature of the model to alleviate the CDM small scale crisis and on its possible relation to MOND.

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