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arXiv 0709.1391astro-phgr-qchep-phhep-th
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满足宇宙学和局部引力约束的f(R)暗能量模型的观测特征

Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints

Shinji Tsujikawa

摘要:

我们讨论的观测结果f(R)暗能量的情况下,满足当地的引力约束(LGC)以及宇宙学的可行性条件。我们所研究的模型由m(r)=C(-r-1)^p(C>0,p>1)给出,其中m= Rf_{,RR} / f_{,R},r=- Rf_{,R} /f,它涵盖了迄今为止在高曲率区域提出的可行的f(R)模型,这些模型被设计成与LGC兼容。暗能量的状态方程在满足宇宙微波背景(CMB)的声视界约束下,在红移z_c处表现出接近几倍的发散。我们详细研究了宇宙微波背景辐射和星系团的物质密度扰动的演化过程,并利用能量谱的谱指数的差异对模型参数进行了约束。当p>5时,模型能与观测约束和LGC相一致。我们还讨论了扰动的Ricci标量R的演变,并表明,振荡模式(标量)可以很容易地占主导地位的物质诱导的模式,因为我们回到过去。这违反了宇宙学解的稳定性,因此提出了一个问题,即如何在早期宇宙中避免标量子的过度产生。

英文摘要:

We discuss observational consequences of f(R) dark energy scenarios that satisfy local gravity constraints (LGC) as well as conditions of the cosmological viability. The model we study is given by m(r)=C(-r-1)^p (C>0, p>1) with m=Rf_{,RR}/f_{,R} and r=-Rf_{,R}/f, which cover viable f(R) models proposed so far in a high-curvature region designed to be compatible with LGC. The equation of state of dark energy exhibits a divergence at a redshift z_c that can be as close as a few while satisfying sound horizon constraints of Cosmic Microwave Background (CMB). We study the evolution of matter density perturbations in details and place constraints on model parameters from the difference of spectral indices of power spectra between CMB and galaxy clustering. The models with p>5 can be consistent with those observational constraints as well as LGC. We also discuss the evolution of perturbations in the Ricci scalar R and show that an oscillating mode (scalaron) can easily dominate over a matter-induced mode as we go back to the past. This violates the stability of cosmological solutions, thus posing a problem about how the over-production of scalarons should be avoided in the early universe.

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