Exact analytic solution of sub-horizon scales linear perturbation for general dark energy models

Details Exact analytic solution of sub-horizon scales linear perturbation for general dark energy models Exact analytic solution of sub-horizon scales linear perturbation for general dark energy models

2009-05-28

arxiv.org/abs/0905.4734v4

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

6pages, 5figures, Change Fig.2b

Scientific paper

Three decades ago Heath found the integral form of the exact analytic growing mode solution of linear density perturbation $\delta$ 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 $\omega_{de}$. We compare the correct analytic growing mode solution $\delta$ with the text book solution $\delta^{D}$. Indeed, both solutions are equal to each other when $\omega_{de} = -1$. We also able to extend this solution for the specific form of time varying $\omega_{de}$.

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