一般暗能量模型亚视界尺度线性微扰的精确解析解
Exact analytic solution of sub-horizon scales linear perturbation for general dark energy models
摘要：
三十年前，希思发现了在亚视界尺度下，包括宇宙学常数或曲率项在内的线性密度微扰$δ$的精确解析增长模式解的积分形式。有趣的是，我们能够得到一般暗能量模型的解析解与常数状态方程$ω_{de}$。我们比较了正确的解析生长模式解$δ$和教科书解$δ^{D}$。实际上，当$ω_{de} = -1$。我们也能够将这种解决方案扩展到特定形式的时变$ω_{de}$。
英文摘要：
Three decades ago Heath found the integral form of the exact analytic growing mode solution of linear density perturbation $δ$ in sub-horizon scales including the cosmological constant or the curvature term. Interestingly, we are able to obtain the analytic solution for general dark energy models with the constant equation of state $ω_{de}$. We compare the correct analytic growing mode solution $δ$ with the text book solution $δ^{D}$. Indeed, both solutions are equal to each other when $ω_{de} = -1$. We also able to extend this solution for the specific form of time varying $ω_{de}$.
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