Cosmological dynamics of Scalar--Tensor Gravity

Abstract

We study the phase--space of FLRW models derived from Scalar--Tensor Gravity where the non--minimal coupling is $F(\varphi )=\xi {\varphi }^2$ and the effective potential is $V(\varphi )=\lambda {\varphi }^n$. Our analysis allows to unfold many feature of the cosmology of this class of theories. For example, the evolution mechanism towards states indistinguishable from GR is recovered and proved to depend critically on the form of the potential $V(\varphi )$. Also, transient almost--Friedmann phases evolving towards accelerated expansion and unstable inflationary phases evolving towards stable ones are found. Some of our results are shown to hold also for the String-Dilaton action.

25 pages, 4 figures, 12 tables, submitted to CQG

References in corpus (1)

• The dynamics of scalar-tensor cosmology from RS two-brane model

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• Summary of session A4 at the GRG18 conference: Alternative Theories of Gravity