Cosmology on a cosmic ring

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Published 27 March 2015 © 2015 IOP Publishing Ltd and Sissa Medialab srl
, , Citation Florian Niedermann and Robert Schneider JCAP03(2015)050 DOI 10.1088/1475-7516/2015/03/050

1475-7516/2015/03/050

Abstract

We derive the modified Friedmann equations for a generalization of the Dvali-Gabadadze-Porrati (DGP) model in which the brane has one additional compact dimension. The main new feature is the emission of gravitational waves into the bulk. We study two classes of solutions: first, if the compact dimension is stabilized, the waves vanish and one exactly recovers DGP cosmology. However, a stabilization by means of physical matter is not possible for a tension-dominated brane, thus implying a late time modification of 4D cosmology different from DGP. Second, for a freely expanding compact direction, we find exact attractor solutions with zero 4D Hubble parameter despite the presence of a 4D cosmological constant. The model hence constitutes an explicit example of dynamical degravitation at the full nonlinear level. Without stabilization, however, there is no 4D regime and the model is ruled out observationally, as we demonstrate explicitly by comparing to supernova data.

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10.1088/1475-7516/2015/03/050