Cosmological dynamics of gravitating hadron matter

Abstract

Anisotropic cosmologies are studied in the case where the matter source is given by the Skyrme model which is an effective description of low energy QCD. The dynamical evolution of the Kantowski-Sachs and Bianchi-I universes are analyzed in depth. In both situations in order for solutions to exist and at the same time to avoid finite time future singularities, bounds on the value of the cosmological constant and on the values of the Skyrme couplings must be set. The upper bound on the cosmological constant, which depends also on the initial conditions is closely related to the fact that the baryons appear below 1 GeV. The upper bound on the cosmological constant is actually 72 orders of magnitudes lower than the standard estimations from quantum field theory. The lower bound on the cosmological constant and the bounds on the Skyrme couplings are due to the peculiar combination of nonlinear terms in the Skyrme model. It is worth to point out that bounds on the Skyrme couplings occur in similar fashion both for the Kantowski-Sachs and for the Bianchi-I models which are topologically completely different. Our results suggest that this behavior is intrinsic to the coupling of the Skyrme field to gravity rather than on a specific cosmological model.

arXiv comment20 pages, 5 figures; typos corrected and a comment added in the last section. Version accepted for publication in Phys. Rev. D

References in corpus (15)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2013 results. XVI. Cosmological parameters
• The Cosmological Constant and Dark Energy
• The Case for a Positive Cosmological Lambda-term
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• The Cosmological Constant Problem and Quintessence
• Cosmological constraints from Archeops
• Estimates of Cosmological Parameters Using the CMB Angular Power Spectrum of ACBAR
• Improved Measurement of the Angular Power Spectrum of Temperature Anisotropy in the CMB from Two New Analyses of BOOMERANG Observations
• Hedgehog ansatz and its generalization for self-gravitating Skyrmions
• Non-linear superposition law and Skyrme crystals
• A Higgs--Saw Mechanism as a Source for Dark Energy

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