Quantally fed steady-state domain distributions in Stochastic Inflation

Details Quantally fed steady-state domain distributions in Stochastic Inflation Quantally fed steady-state domain distributions in Stochastic Inflation

1999-11-25

arxiv.org/abs/gr-qc/9911100v1

Nuovo Cim. B115 (2000) 239-244

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 1 figure, accepted for publication to Il Nuovo Cimento B

Scientific paper

Within the framework of stochastic inflationary cosmology we derive steady-state distributions P_c(V) of domains in comoving coordinates, under the assumption of slow-rolling and for two specific choices of the coarse-grained inflaton potential $V(\Phi)$. We model the process as a Starobinsky-like equation in V-space plus a time-independent source term P_w(V) which carries (phenomenologically) quantum-mechanical information drawn from either of two known solutions of the Wheeler-De Witt equation: Hartle-Hawking's and Vilenkin's wave functions. The presence of the source term leads to the existence of nontrivial steady-state distributions P^w_c(V). The relative efficiencies of both mechanisms at different scales are compared for the proposed potentials.

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