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MATTER PRODUCTION IN THE EARLY UNIVERSE

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The coupled Dirac-Einstein equations with a negative cosmological constant for an open FRW universe are studied in detail. The corresponding solutions admit bounces (hooked right arrow minimal radius) of the universe such that the matter energy in any comoving 3-volume is either increased or decreased during the bounce according to whether the bounce pressure of the spinor field is appropriately negative or not. If matter is generated (annihilated) during a bounce, the universe subsequently becomes larger (smaller) than before the bounce. Therefore matter can be generated only during the growth of the universe, but it is annihilated again during the subsequent shrinking phase, which together with the growing phase forms a cosmic supercycle. References: 20

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