http://arxiv.org/abs/1502.07672
In order to estimate the effects of local structure on the Hubble parameter we calculate the low-redshift expansion for $H(z)$ and $\frac{\delta H}{H}$ for an observer at the center of a spherically symmetric matter distribution in presence of a cosmological constant. We then test the accuracy of the formulae comparing them with fully relativistic non pertubative numerical calculations for different cases for the density profile. Our analytical approach does not involve perturbation theory, and is based on the use of exact solutions of Einstein’s field equations. The formulae can be used to take into account the non linear effects on the Hubble expansion parameter due to the monopole component of the local structure.
A. Romano and S. Vallejo
Fri, 27 Feb 15
19/60
Comments: 11 pages, 4 figures