General Relativity as an Attractor in Scalar-Tensor Stochastic Inflation

Details General Relativity as an Attractor in Scalar-Tensor Stochastic Inflation General Relativity as an Attractor in Scalar-Tensor Stochastic Inflation

1995-03-27

arxiv.org/abs/gr-qc/9503049v1

Phys.Rev.D52:5636-5642,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX (with RevTex) 11 pages, 2 uuencoded figures appended, also available on WWW via http://star.maps.susx.ac.uk/index.html

Scientific paper

10.1103/PhysRevD.52.5636

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 like the Planck mass and the effective Brans--Dicke parameter, $\omega$. In the particular case of Brans--Dicke gravity, where $\omega$ is constant, this leads to runaway solutions with infinitely large values of the Planck mass. However, in a theory with variable $\omega$ we find stationary probability distributions with a finite value of the Planck mass peaked at exponentially large values of $\omega$ after inflation. We conclude that general relativity is an attractor during the quantum diffusion of the fields.

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