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Noether symmetry approach in matter-dominated cosmology with variable G and Λ

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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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Authors and Affiliations

  1. Osservatorio Astrofisico, Via S. Sofia 78, 95123, Catania, Italy

    Alfio Bonanno

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Corso Italia 57, 95129, Catania, Italy

    Alfio Bonanno

  3. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio 6’, 80126, Napoli, Italy

    Giampiero Esposito, Claudio Rubano & Paolo Scudellaro

  4. Dipartimento di Scienze Fisiche, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio 6’, 80126, Napoli, Italy

    Giampiero Esposito, Claudio Rubano & Paolo Scudellaro

Authors
  1. Alfio Bonanno
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  2. Giampiero Esposito
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  3. Claudio Rubano
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  4. Paolo Scudellaro
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Correspondence to Giampiero Esposito.

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Bonanno, A., Esposito, G., Rubano, C. et al. Noether symmetry approach in matter-dominated cosmology with variable G and Λ. Gen Relativ Gravit 39, 189–209 (2007). https://doi.org/10.1007/s10714-006-0386-y

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  • DOI: https://doi.org/10.1007/s10714-006-0386-y

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