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arXiv 0810.2405hep-thastro-phgr-qc
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具有非标准动力学项的宇宙学标量场的非线性微扰

Nonlinear perturbations of cosmological scalar fields with non-standard kinetic terms

Sebastien Renaux-Petel, Gianmassimo Tasinato

摘要:

本文采用协变形式导出了两个标量场支配的宇宙中非线性扰动的精确演化方程。这些标量场的特征在于非正则动力学项和任意的场空间度规,这是受弦论启发的暴胀模型中通常遇到的情况。我们将非线性标量微扰分解为绝热模和熵模,推广了线性理论中的定义,并导出了相应的精确演化方程。我们还得到了均匀密度超曲面上曲率扰动的非线性推广,表明在大尺度上它只来源于熵扰动的非线性版本。然后,我们扩大这些方程的二阶扰动,使用坐标为基础的形式主义。我们的结果是相对紧凑和优雅的,使人们能够识别新的影响来自非正则结构的标量场拉格朗日。我们还解释了如何分析,在我们的形式主义,有趣的情况下,多场Dirac Born Infeld通货膨胀。

英文摘要:

We adopt a covariant formalism to derive exact evolution equations for nonlinear perturbations, in a universe dominated by two scalar fields. These scalar fields are characterized by non-canonical kinetic terms and an arbitrary field space metric, a situation typically encountered in inflationary models inspired by string theory. We decompose the nonlinear scalar perturbations into adiabatic and entropy modes, generalizing the definition adopted in the linear theory, and we derive the corresponding exact evolution equations. We also obtain a nonlinear generalization of the curvature perturbation on uniform density hypersurfaces, showing that on large scales it is sourced only by the nonlinear version of the entropy perturbation. We then expand these equations to second order in the perturbations, using a coordinate based formalism. Our results are relatively compact and elegant and enable one to identify the new effects coming from the non-canonical structure of the scalar fields Lagrangian. We also explain how to analyze, in our formalism, the interesting scenario of multifield Dirac-Born-Infeld inflation.

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