Gauss-Bonnet dark energy by Lagrange multipliers
| Autor: | Salvatore Capozziello, Andrey N. Makarenko, Sergei D. Odintsov |
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| Přispěvatelé: | Capozziello, Salvatore, Andrey, Makarenko, Sergei, Odintsov |
| Rok vydání: | 2013 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Cosmology and Nongalactic Astrophysics (astro-ph.CO) FOS: Physical sciences Lambda-CDM model Astrophysics::Cosmology and Extragalactic Astrophysics General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Gravitation Thermodynamics of the universe symbols.namesake Classical mechanics High Energy Physics - Theory (hep-th) Lagrange multiplier symbols Dark energy Noether's theorem Scalar field Astrophysics - Cosmology and Nongalactic Astrophysics Quintessence Mathematical physics |
| DOI: | 10.48550/arxiv.1302.0093 |
| Popis: | A string-inspired effective theory of gravity, containing Gauss-Bonnet invariant interacting with a scalar field, is considered in view of obtaining cosmological dark energy solutions. A Lagrange multiplier is inserted into the action in order to achieve the cosmological reconstruction by selecting suitable forms of couplings and potentials. Several cosmological exact solutions (including dark energy of quintessence, phantom or Little Rip type) are derived in presence and in absence of the Lagrange multiplier showing the difference in the two dynamical approaches. In the models that we consider, the Lagrange multiplier behaves as a sort of dust fluid that realizes the transitions between matter dominated and dark energy epochs. The relation between Lagrange multipliers and Noether symmetries is discussed. Comment: 14 pages, expanded version to appear in PRD |
| Databáze: | OpenAIRE |
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