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2019

Cosmological $\Lambda$ driven inflation and produced massive particles

Xue, She-Sheng

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Suppose that the early Universe starts with a quantum spacetime originated cosmological $\Lambda$-term at the Planck scale $M_{\rm pl}$.

The cosmological energy density $\rho_{_{_\Lambda}}$ drives inflation and simultaneously reduces its value to create the matter-energy density $\rho_{_{_M}}$ via the continuous pair productions of massive fermions and antifermions.
The decreasing $\rho_{_{_\Lambda}}$ and increasing $\rho_{_{_M}}$, in turn, slows down the inflation to its end when the pair production rate $\Gamma_M$ is larger than the Hubble rate $H$.
The density $\rho_{_{_\Lambda}}$ and Hubble rate $H$ are uniquely determined by two independent equations from the Einstein equation and energy conservation law, besides the $\rho_{_{_M}}$ is determined by pair productions.

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