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=== Ekpyrotic and cyclic models === The [[Ekpyrotic universe|ekpyrotic]] and [[cyclic model]]s are also considered adjuncts to inflation. These models solve the [[horizon problem]] through an expanding epoch well ''before'' the Big Bang, and then generate the required spectrum of primordial density perturbations during a contracting phase leading to a [[Big Crunch]]. The Universe passes through the Big Crunch and emerges in a hot [[Big Bang]] phase. In this sense they are reminiscent of [[Richard Chace Tolman]]'s [[oscillatory universe]]; in Tolman's model, however, the total age of the Universe is necessarily finite, while in these models this is not necessarily so. Whether the correct spectrum of density fluctuations can be produced, and whether the Universe can successfully navigate the Big Bang/Big Crunch transition, remains a topic of controversy and current research. Ekpyrotic models avoid the [[magnetic monopole]] problem as long as the temperature at the Big Crunch/Big Bang transition remains below the Grand Unified Scale, as this is the temperature required to produce magnetic monopoles in the first place. As things stand, there is no evidence of any 'slowing down' of the expansion, but this is not surprising as each cycle is expected to last on the order of a trillion years.<ref>{{Cite journal |last=Lehners |first=Jean-Luc |date=2 June 2009 |title=Ekpyrotic and cyclic cosmology |journal=Physics Reports |volume=465 |issue=6 |pages=223β263 |doi=10.1016/j.physrep.2008.06.001 |arxiv=0806.1245 |s2cid=17534907 }}</ref>
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