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<i>f</i>(<i>R</i>) cosmology from Noether’s symmetry

Salvatore CapozzıelloDipartimento di Scienze Fisiche, Università di Napoli, Compl. Universita di Monte S. Angelo, Edificio G, Via Cinthia, 80121 Napoli, ItalyAntonio De FeliceCenter for Particle Physics and Phenomenology (CP3), Université Catholique de Louvain Chemin du Cyclotron, 2, B-1348 Louvain-la-Neuve, Belgium
2008en
ABI

Abstract

A general approach to find out exact cosmological solutions in f(R)-gravity\nis discussed. Instead of taking into account phenomenological models, we\nassume, as a physical criterium, the existence of Noether symmetries in the\ncosmological f(R) Lagrangian. As a result, the presence of such symmetries\nselects viable models and allow to solve the equations of motion. We discuss\nalso the case in which no Noether charge is present but general criteria can be\nused to achieve solutions.\n Comment: 23 pages, uses RevTeX

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