Construction of matter models which violate the strong energy condition and may avoid the initial singularity

Mathematics

Scientific paper

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Big Bang Cosmology, Elementary Particle Interactions, Matter (Physics), Singularity (Mathematics), Strong Interactions (Field Theory), Fermions, Flux Density, High Energy Interactions, Mesons, Relativity

Scientific paper

Lagrangians of matter models with interaction are constructed which induce a violation of the strong energy condition. In particular, the usual interaction between fermions and scalar mesons is investigated in the mean-field approximation. The region of parameters (coupling constant, masses of fermions and mesons) is given in which the strong energy condition is violated. With this matter model, cosmological Friedmann evolutions back in time are computed. The question of whether the initial singularity is avoidable in this context is of particular interest.

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