Scale-dependent bias from primordial non-Gaussianity in general relativity

Scale-dependent bias from primordial non-Gaussianity in general relativity
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广义相对论中原始非高斯性的尺度相关偏差

DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
A. Slosar
A. Slosar
中科院分区:
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文献类型:
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作者:
D. Wands;A. Slosar

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在这篇文章中,我们考察了在广义相对论的背景下,由局域类型的原始非高斯性引起的尺度依赖偏差的推导。我们证明了在一般相对论微扰理论中使用泊松方程,从而证明了尺度相关偏差的推导是对原始非高斯性的一种检验,并使用了球体坍塌模型。推论是,这种依赖于尺度的偏差形式在大于哈勃半径的尺度上不会得到一般的相对论修正。这导致了我们所讨论的质量分布的偏向示踪物的形式发散的关联函数。
In this paper we examine the derivation of scale-dependent bias due to primordial non-Gaussianity of the local type in the context of general relativity. We justify the use of the Poisson equation in general relativistic perturbation theory and thus the derivation of scale-dependent bias as a test of primordial non-Gaussianity, using the spherical collapse model. The corollary is that the form of scale-dependent bias does not receive general relativistic corrections on scales larger than the Hubble radius. This leads to a formally divergent correlation function for biased tracers of the mass distribution which we discuss.