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Dark energy exponential potential models as curvature quintessence

Salvatore CapozzıelloDipartimento di Scienze Fisiche, Univ. di Napoli ‘Federico II’, and INFN, Sez. di Napoli, Compl. Univ. di Monte S Angelo, Ed. N, via Cinthia, 80121 Napoli, ItalyV. F. CardoneDipartimento di Fisica ‘E R Caianiello’, Univ. di Salerno, and INFN, Sez. di Napoli, Gruppo Coll. di Salerno, via S Allende, 84081 Baronissi (Salerno), ItalyE. PiedipalumboDipartimento di Scienze Fisiche, Univ. di Napoli ‘Federico II’, and INFN, Sez. di Napoli, Compl. Univ. di Monte S Angelo, Ed. N, via Cinthia, 80121 Napoli, ItalyC. RubanoDipartimento di Scienze Fisiche, Univ. di Napoli ‘Federico II’, and INFN, Sez. di Napoli, Compl. Univ. di Monte S Angelo, Ed. N, via Cinthia, 80121 Napoli, Italy
2006en
ABI

Abstract

It has been recently shown that, under some general conditions, it is always possible to find a fourth order gravity theory capable of reproducing the same dynamics of a given dark energy model. Here, we discuss this approach for a dark energy model with a scalar field evolving under the action of an exponential potential. In absence of matter, such a potential can be recovered from a fourth order theory via a conformal transformation. Including the matter term, the function f(R) entering the generalized gravity Lagrangian can be reconstructed according to the dark energy model.

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Cited by 30 references