Journal
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
Volume 15, Issue 12, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887818502122
Keywords
Modified gravity; inflation; dynamical systems; cosmology; f(R) gravity
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Funding
- Research Committee of the Technological Education Institute of Central Macedonia [SAT/ME/230518-126/15]
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In this paper we will study the cosmological dynamical system of an f (R) gravity in the presence of a canonical scalar field phi with an exponential potential by constructing the dynamical system in a way that it is rendered autonomous. This feature is controlled by a single variable m, which when it is constant, the dynamical system is autonomous. We focus on the m = 0 case which, as we demonstrate by using a numerical analysis approach, leads to an unstable de Sitter attractor, which occurs after N similar to 60 e-foldings. This instability can be viewed as a graceful exit from inflation, which is inherent to the dynamics of de Sitter attractors.
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