English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Three decades ago Heath found the integral form of the exact analytic growingmode solution of the linear density perturbation $\delta$ on sub-horizon scalesincluding the cosmological constant or the curvature term. Recently, weobtained the exact analytic form of this solution in our previous work\cite{SK}. Interestingly, we are able to extend this solution for general darkenergy models with the constant equation of state $\omega_{de}$ in a flatuniverse. This analytic solution provides the accurate and efficient tools forprobing the properties of dark energy models such as the behavior of the growthfactor and the growth index. We investigate the growth index and its parameterat any epoch with this exact solution for different dark energy models and findthat the growth index is quite model dependent in the redshift space, $0.25\leq z \leq 1.5$, so observations of the structure growth around this epochwould be very interesting. Also one may be able to rule out some dark energymodels by using the analysis from this exact solution. Thus, the analyticsolution for the growth factor provides the very useful tools for futureobservations to constrain the exact values of observational quantities at anyepoch related to the growth factor in the dark energy models.

Growth index with the exact analytic solution of sub-horizon scale linear perturbation for dark energy models with constant equation of state