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- W204507918 abstract "We introduce the notion of general K =− 1 Friedman-Lemaˆ (compact) cosmologies and the notion of averaged evolution by means of an averaging map. We then analyze the Friedman-Lemaequations and the role of gravitational energy on the universe evolution. We distinguish two asymptotic behaviors: radiative and mass gap. We discuss the averaging problem in cosmology for them through precise definitions. We then describe in quantitative detail the radiative case, stressing on precise estimations on the evolutionofthegravitationalenergyanditseffectintheuniverse'sdeceleration. Also in the radiative case, we present a smoothing property which tells that the long-time H 3 × H 2 stability of the flat K =− 1 Friedman-Lemaˆ (FL) models implies H i+1 × H i stability independently of how big the initial state was in H i+1 × H i , i.e. there is long-time smoothing of the spacetime 1 . Finally wediscusstheexistenceofinitial'big-bang'statesoflargegravitationalenergy, showing that there is no mathematical restriction to assume it to be low at the beginning of time." @default.
- W204507918 created "2016-06-24" @default.
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- W204507918 date "2008-03-26" @default.
- W204507918 modified "2023-09-27" @default.
- W204507918 title "General {cal K}=-1 Friedman–Lemaître models and the averaging problem in cosmology" @default.
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- W204507918 doi "https://doi.org/10.1088/0264-9381/25/8/085001" @default.
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