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arXiv 0812.3048astro-ph
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修正引力理论中的宇宙学密度扰动

Cosmological density perturbations in modified gravity theories

A. de la Cruz-Dombriz, A. Dobado, A. L. Maroto

摘要:

在f(R)引力理论的背景下,我们用一种完全一般的方法研究了标量扰动的宇宙学演化。我们发现,精确的四阶微分方程的物质密度扰动的纵向规范,减少到一个二阶方程的亚哈勃模式。这种简化相比,在文献中使用的标准(准静态)方程。我们证明了对于一般的f(R)函数,准静态逼近是不合理的.然而,对于那些f(R)充分描述了加速膨胀的当前阶段,并满足当地的重力测试,它确实给出了一个正确的描述扰动的演变。

英文摘要:

In the context of f(R) theories of gravity, we study the cosmological evolution of scalar perturbations by using a completely general procedure. We find that the exact fourth-order differential equation for the matter density perturbations in the longitudinal gauge, reduces to a second-order equation for sub-Hubble modes. This simplification is compared with the standard (quasi-static) equation used in the literature. We show that for general f(R) functions the quasi-static approximation is not justified. However for those f(R) adequately describing the present phase of accelerated expansion and satisfying local gravity tests, it does give a correct description for the evolution of perturbations.

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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