A new approach to the analysis of the phase space of f(R)-gravity

DOI10.1088/1475-7516/2015/09/013arXiv1505.06015WikidataQ62562738 ScholiaQ62562738MaRDI QIDQ6262010

Publication date: 22 May 2015

Abstract: We propose a new dynamical system formalism for the analysis of f(R) cosmologies. The new approach eliminates the need for cumbersome inversions to close the dynamical system and allows the analysis of the phase space of f(R)-gravity models which cannot be investigated using the standard technique. Differently form previously proposed similar techniques, the new method is constructed in such a way to associate to the fixed points scale factors, which contain four integration constants (i.e. solutions of fourth order differential equations). In this way a new light is shed on the physical meaning of the fixed points. We apply this technique to some f(R) Lagrangians relevant for inflationary and dark energy models.

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