视界外的非高斯相关性II：一般情况
Non-Gaussian Correlations Outside the Horizon II: The General Case
摘要：
推广了最近文献[0808.2909]的结果。更详细的证明，在基本上所有的条件下，在宇宙学中的非线性经典方程组的物质和引力有“绝热”的解决方案，其中，远在视界外，在一个适当的规范，减少空间度规$g_{ij}({\bf x},t)/a^2(t)$成为时间无关的功能${\cal G}_{ij}({\bf x})$，和所有的扰动，其他度规组件和所有的物质变量消失。修正是$a^{-2}$阶的，它们的${\bf x}$依赖性现在明确地用${\cal G}_{ij}({\bf x})$及其导数给出.在多标量场的情况下，对$g_{ij}({\bf x},t)/a^2(t)$的修正的时间依赖性的先前结果现在被证明适用于各向异性惯性为$a^{-2}$阶的任何理论。此外，它示出的绝热解决方案是有吸引力的$a$变得大的情况下，单场膨胀，现在也为热平衡，没有非零的守恒量，和$O(a^{-2})$修正的其他动力学变量明确计算在这两种情况下。
英文摘要：
The results of a recent paper [0808.2909] are generalized. A more detailed proof is presented that under essentially all conditions, the non-linear classical equations governing matter and gravitation in cosmology have ``adiabatic'' solutions in which, far outside the horizon, in a suitable gauge, the reduced spatial metric $g_{ij}({\bf x},t)/a^2(t)$ becomes a time-independent function ${\cal G}_{ij}({\bf x})$, and all perturbations to the other metric components and to all matter variables vanish. The corrections are of order $a^{-2}$, and their ${\bf x}$-dependence is now explicitly given in terms of ${\cal G}_{ij}({\bf x})$ and its derivatives. The previous results for the time-dependence of the corrections to $g_{ij}({\bf x},t)/a^2(t)$ in the case of multi-scalar field theories are now shown to apply for any theory whose anisotropic inertia vanishes to order $a^{-2}$. Further, it is shown that the adiabatic solutions are attractive as $a$ becomes large for the case of single field inflation and now also for thermal equilibrium with no non-zero conserved quantities, and the $O(a^{-2})$ corrections to the other dynamical variables are explicitly calculated in both cases.
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