ﻻ يوجد ملخص باللغة العربية
We propose two improved parameterized form for the growth index of the linear matter perturbations: (I) $gamma(z)=gamma_0+(gamma_{infty}-gamma_0){zover z+1}$ and (II) $gamma(z)=gamma_0+gamma_1 frac{z}{z+1}+(gamma_{infty}-gamma_1-gamma_0)(frac{z}{z+1})^{alpha}$. With these forms of $gamma(z)$, we analyze the accuracy of the approximation the growth factor $f$ by $Omega^{gamma(z)}_m$ for both the $omega$CDM model and the DGP model. For the first improved parameterized form, we find that the approximation accuracy is enhanced at the high redshifts for both kinds of models, but it is not at the low redshifts. For the second improved parameterized form, it is found that $Omega^{gamma(z)}_m$ approximates the growth factor $f$ very well for all redshifts. For chosen $alpha$, the relative error is below 0.003% for the $Lambda$CDM model and 0.028% for the DGP model when $Omega_{m}=0.27$. Thus, the second improved parameterized form of $gamma(z)$ should be useful for the high precision constraint on the growth index of different models with the observational data. Moreover, we also show that $alpha$ depends on the equation of state $omega$ and the fractional energy density of matter $Omega_{m0}$, which may help us learn more information about dark energy and DGP models.
We derive an analytical expression for the growth rate of matter density perturbations on the phantom brane (which is the normal branch of the Dvali-Gabadadze-Porrati model). This model is characterized by a phantomlike effective equation of state fo
We study the phase space of the quintom cosmologies for a class of exponential potentials. We combine normal forms expansions and the center manifold theory in order to describe the dynamics near equilibrium sets. Furthermore, we construct the unstab
We describe a new class of dark energy (DE) models which behave like cosmological trackers at early times. These models are based on the $alpha$-attractor set of potentials, originally discussed in the context of inflation. The new models allow the c
In this work, we analyzed the effect of different prescriptions of the IR cutoffs, namely the Hubble horizon cutoff, particle horizon cutoff, Granda and Oliveros horizon cut off, and the Ricci horizon cutoff on the growth rate of clustering for the T
The origin of accelerating expansion of the Universe is one the biggest conundrum of fundamental physics. In this paper we review vacuum energy issues as the origin of accelerating expansion - generally called dark energy - and give an overview of al