Versatile parametrization of the perturbation growth rate on the phantom brane
arXiv:1805.10405 · doi:10.1103/PhysRevD.98.064024
Abstract
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 for dark energy at the present epoch. It agrees very well with observations. We demonstrate that the traditional parametrization with a quasiconstant growth index is not successful in this case. Based on a power series expansion at large redshifts, we propose a different parametrization for this model: , where and are constants. Our numerical simulations demonstrate that this new parametrization describes the growth rate with great accuracy - the maximum error being for parameter values consistent with observations.
arXiv comment21 pages, 5 figures, published version
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