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arXiv 0905.0730astro-ph.COgr-qchep-th
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一类可行宇宙学f(R)模型中物质密度扰动的解析解

Analytic solution for matter density perturbations in a class of viable cosmological f(R) models

Hayato Motohashi, Alexei A. Starobinsky, Jun'ichi Yokoyama

摘要:

对于一类可行的$f(R)$引力宇宙学模型,对于大的$R$,其对爱因斯坦引力的偏离按Ricci标量$R$的逆幂律减小,得到了物质占优阶段物质分量密度扰动的超几何函数解析解.在远小于当前哈勃尺度的尺度下,得到了物质传递函数的解析表达式。

英文摘要:

For a class of viable cosmological models in $f(R)$ gravity which deviation from the Einstein gravity decreases as a inverse power law of the Ricci scalar $R$ for large $R$, an analytic solution for density perturbations in the matter component during the matter dominated stage is obtained in terms of hypergeometric functions. An analytical expression for the matter transfer function at scales much less than the present Hubble scale is also obtained.

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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