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arXiv 0806.4327astro-ph
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模拟$ΛCDM$宇宙模型的宇宙标量场

Cosmological scalar fields that mimic the $ΛCDM$ cosmological model

V. I. Zhdanov, G. Ivashchenko

摘要:

我们寻找一个标量场(暗能量没有宇宙学常数)的宇宙学,它模仿标准的$ΛCDM$宇宙学模型,产生完全相同的大尺度几何形状所描述的哈勃参数的演变(即测光距离和角直径距离作为函数的$z$)。研究了在无压物质和可分标量场拉格朗日量(幂律动力学项+幂律势)的空间平坦宇宙中场解的渐近行为.在某些特殊情况下,得到了精确的解析解。许多模型的场解在过去是无穷大的,甚至在有限红移处是奇异的。我们指出,宇宙标量场的引入涉及到一些简并,导致$Ω_m$测定精度降低。为了消除这种简并性,除了大尺度几何数据之外,还需要额外的信息。

英文摘要:

We look for cosmologies with a scalar field (dark energy without cosmological constant), which mimic the standard $ΛCDM$ cosmological model yielding exactly the same large-scale geometry described by the evolution of the Hubble parameter (i.e. photometric distance and angular diameter distance as functions on $z$). Asymptotic behavior of the field solutions is studied in the case of spatially flat Universe with pressureless matter and separable scalar field Lagrangians (power-law kinetic term + power-law potential). Exact analytic solutions are found in some special cases. A number of models have the field solutions with infinite behavior in the past or even singular behavior at finite redshifts. We point out that introduction of the cosmological scalar field involves some degeneracy leading to lower precision in determination of $Ω_m$. To remove this degeneracy additional information is needed beyond the data on large-scale geometry.

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