Noether symmetry approach in matter-dominated cosmology with variable G and Λ |
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| Authors: | Alfio Bonanno Giampiero Esposito Claudio Rubano Paolo Scudellaro |
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| Affiliation: | (1) Osservatorio Astrofisico, Via S. Sofia 78, 95123 Catania, Italy;(2) Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Corso Italia 57, 95129 Catania, Italy;(3) Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio 6’, 80126 Napoli, Italy;(4) Dipartimento di Scienze Fisiche, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio 6’, 80126 Napoli, Italy |
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| Abstract: | In the framework of renormalization-group improved cosmologies, we use the Noether symmetry approach to get exact and general integration of the matter-dominated cosmological equations. This is performed by using an expression of Λ = Λ (G) determined by the method itself. We also work out a comparison between such a model and the concordance ΛCDM model as to the magnitude–redshift relationship, hence showing that no appreciable differences occur. |
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