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General relativity as an attractor in scalar-tensor stochastic inflation

1995/03/27 by Juan Garcia-Bellido, J. García-Bellido, David Wands · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · Social Sciences · #Attractor #Cosmology and Gravitation Theories #General relativity #Gravitation #Inflation (cosmology) #Insurance, Mortality, Demography, Risk Management #Mathematical physics #Mathematics #Omega #Physics #Planck #Planck mass #Quantum #Quantum fluctuation #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Stochastic processes and financial applications #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.52.5636

published as Phys.Rev.D52:5636-5642,1995 · LaTeX (with RevTex) 11 pages, 2 uuencoded figures appended, also available on WWW via http://star.maps.susx.ac.uk/index.html

arxiv created 1995/03/27 · openalex publication_date 1995/11/15 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum fluctuations of scalar fields during inflation could determine the very-large-scale structure of the universe In the case of general scalar-tensor gravity theories these fluctuations lead to the diffusion of fundamental constants such as the Planck mass and the effective Brans-Dicke parameter \ensuremathω. In the particular case of Brans-Dicke gravity, where \ensuremathω is constant, this leads to runaway solutions with infinitely large values of the Planck mass. However, in a variable \ensuremathω theory, if the Planck mass has a maximum, we find stationary probability distributions peaked at exponentially large values of \ensuremathω after inflation. We conclude that general relativity is an attractor during the quantum diffusion of the fields.

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