http://arxiv.org/abs/1703.07649
The maximum allowable size of a spherical cosmic structure as a function of its mass is determined by the maximum turn around radius $R_{\rm TA,max}$, the distance from its center where the attraction on a test particle due to the spherical mass is balanced with the repulsion due to the ambient dark energy. $R_{\rm TA,max}$ is computed in the framework of several gravity models. (a) In the generic dark energy model with arbitrary time dependent state parameter $w(t)$, taking into account the effect of inhomogeneities upon the dark energy, where it is shown that the data constrain $w(t={\rm today})>-2.3$, and (b) in the quintessence and the generalized Chaplygin gas models, both of which are shown to predict structure sizes consistent with observations for all values of their parameters.
S. Bhattacharya and T. Tomaras
Fri, 24 Mar 17
35/41
Comments: v1, 19pp
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