Statistical Mechanics In An Expanding Maximally Symmetric Universe

The universe was radiation dominated at red shifts higher than Zeq = 3:9x104rnh2. In thernradiation dominated phase, the temperature will be greater Teq = 9:2rnh2eV and will bernincreasing as (1 + Z). As we go to earlier than phases of the universe the radiation willrnproduce particle-antiparticle pairs of di erent kinds. These elementary particles will berninteracting with each other via di erent processes which will try to maintain statisticalrnequilibrium between the particles. In order to study the early phases of the universe, onernwould like to understand how the material content of the universe changes as it expands

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