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Scalar-tensor cosmologies with a potential in the general relativity limit: Time evolution

2010/06/07 by Laur Järv, Piret Kuusk, Margus Saal · 25 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #General relativity #Geometry #Introduction to the mathematics of general relativity #Mathematical physics #Mathematics #Numerical relativity #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar theories of gravitation #Solar and Space Plasma Dynamics #Theoretical physics #astro-ph.CO #gr-qc

paper · pdf · doi:10.1016/j.physletb.2010.09.029

published in Physics Letters B 694(1), 1-5 (Elsevier BV) · 10 pages, 1 figure

arxiv created 2010/06/07 · openalex publication_date 2010/09/19 · arxiv updated 2011/01/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider Friedmann-Lema\^ıtre-Robertson-Walker flat cosmological models in the framework of general Jordan frame scalar-tensor theories of gravity with arbitrary coupling function and potential. For the era when the cosmological energy density of the scalar potential dominates over the energy density of ordinary matter, we use a nonlinear approximation of the decoupled scalar field equation for the regime close to the so-called limit of general relativity where the local weak field constraints are satisfied. We give the solutions in cosmological time with a particular attention to the classes of models asymptotically approaching general relativity. The latter can be subsumed under two types: (i) exponential convergence, and (ii) damped oscillations around general relativity. As an illustration we present an example of oscillating dark energy.

Citations