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Cosmic rate equation and massive particle--antiparticle pair production
In a Friedmann universe with a time-varying cosmological term, the production of massive particle--antiparticle pairs and their exchange of energy with the spacetime vacuum are described by a cosmic rate equation, $\dotρ_M+3Hρ_M=Γ_M(ρ_M^H-ρ_M)-Γ_M^{\rm de}ρ_M$. Together with the Friedmann equations,
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