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Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmology

Abstract : Loop quantum cosmology is known to be closely linked with an inflationary phase. In this article, we study quantitatively the probability for a long enough stage of slow-roll inflation to occur, by assuming a minimalist massive scalar field as the main content of the universe. The phase of the field in its "pre-bounce" oscillatory state is taken as a natural random parameter. We find that the probability for a given number of inflationary e-folds is quite sharply peaked around 145, which is indeed more than enough to solve all the standard cosmological problems. In this precise sense, a satisfactory inflation is therefore a clear prediction of loop gravity. In addition, we derive an original and stringent upper limit on the Barbero-Immirzi parameter. The general picture about inflation, super-inflation, deflation and super-deflation is also much clarified in the framework of bouncing cosmologies.
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http://hal.in2p3.fr/in2p3-00771020
Contributor : Emmanuelle Vernay <>
Submitted on : Tuesday, January 8, 2013 - 8:25:41 AM
Last modification on : Thursday, November 19, 2020 - 12:58:54 PM

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L. Linsefors, A. Barrau. Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmology. Physical Review D, American Physical Society, 2013, 87, pp.123509. ⟨10.1103/PhysRevD.87.123509⟩. ⟨in2p3-00771020⟩

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