A finite temperature lambda-phi-4 model and a de Sitter-Friedmann transition in the early universe

Mathematics

Scientific paper

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Astronomical Models, Big Bang Cosmology, High Temperature Environments, Phase Transformations, Radiative Transfer, Thermal Expansion, Broken Symmetry, Particle Production, Radiation Effects, Relativity, Singularity (Mathematics), Universe

Scientific paper

We have analyzed the finite temperature lambda-phi-4 model in the Robertson-Walker metric, taking into consideration spontaneous symmetry breaking, particle production and symmetry recovery through phase transition under a high temperature, and found that it is possible to have a cosmological model free of singularities. Such a model begins in the singularity-free, horizon-free, Beltrami-Anti-de Sitter state. Continual production of particles keeps on raising its temperature until a critical temperature is reached, when a phase change takes place, and the universe is transformed into a radiation-dominated, thermally-expanding Friedmann state. This phase transition corresponds to a big-bang without, however, an antecedent singularity.

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