Noether Symmetry Approach in Gauss-Bonnet Cosmology

Salvatore Capozziello; Mariafelicia De Laurentis; Sergei D. Odintsov

doi:10.1142/S0217732314501648

Noether Symmetry Approach in Gauss-Bonnet Cosmology

General Relativity and Quantum Cosmology 2014-11-13 v3 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Authors: Salvatore Capozziello , Mariafelicia De Laurentis , Sergei D. Odintsov

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Abstract

We discuss the Noether Symmetry Approach in the framework of Gauss-Bonnet cosmology showing that the functional form of the $F(R, {\cal G})$ function, where $R$ is the Ricci scalar and ${\cal G}$ is the Gauss-Bonnet topological invariant, can be determined by the presence of symmetries. Besides, the method allows to find out exact solutions due to the reduction of cosmological dynamical system and the presence of conserved quantities. Some specific cosmological models are worked out

Keywords

noether symmetry approach gauss-bonnet cosmology f(r, g) gravity exact solutions cosmological dynamical system conserved quantities

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@article{arxiv.1406.5652,
  title  = {Noether Symmetry Approach in Gauss-Bonnet Cosmology},
  author = {Salvatore Capozziello and Mariafelicia De Laurentis and Sergei D. Odintsov},
  journal= {arXiv preprint arXiv:1406.5652},
  year   = {2014}
}

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9 pages, to appear in Mod. Phys. Lett. A

Noether Symmetry Approach in Gauss-Bonnet Cosmology

Abstract

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