Geodesic
Potential dominated scalar-tensor cosmologies in the general relativity limit
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 3, pp. 185-195

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We consider Friedmann–Lemaître–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 consider the phase space of the scalar field and provide a complete classification of possible phase portraits. 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.
Keywords: general relativity limit, dark energy.
Mots-clés : scalar-tensor cosmologies 
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     author = {L. J\"arv and P. Kuusk and M. Saal},
     title = {Potential dominated scalar-tensor cosmologies in the general relativity limit},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {185--195},
     publisher = {mathdoc},
     volume = {153},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2011_153_3_a16/}
}
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L. Järv; P. Kuusk; M. Saal. Potential dominated scalar-tensor cosmologies in the general relativity limit. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 3, pp. 185-195. http://geodesic.mathdoc.fr/item/UZKU_2011_153_3_a16/