1993/05/28 by B.L. Spokoiny, Spokoiny, Boris
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.hep-th/9305158
openalex publication_date 1993/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a stochastic approach to a non de Sitter Universe in a gauge-invariant way and obtain a system of Langevin-type equations which may be considered to be renormalization group equations for the long wave parts of the scalar fields and metric. We investigate in detail the case of generalized power-law inflation that appears in the model of the deflationary exit from the inflationary stage. For this case the above system is simplified greatly, we derive a Fokker-Planck equation for the scalar field driving inflation, find its stationary solutions and solve the FP equation for a delta-function initial distribution of the field.