Noether symmetry approach in Gauss–Bonnet cosmology-Reference-Cited by-同舟云学术

Noether symmetry approach in Gauss–Bonnet cosmology

Published:2014-09-28 Issue:30 Volume:29 Page:1450164
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Capozziello Salvatore¹²³,De Laurentis Mariafelicia¹²⁴⁵,Odintsov Sergei D.⁴⁵⁶⁷

Affiliation:

1. Dipartimento di Fisica, Università di Napoli "Federico II", Complesso Universitario di Monte Sant'Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

2. INFN Sezione di Napoli, Complesso Universitario di Monte Sant'Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

3. Gran Sasso Science Institute (INFN), Via F. Crispi 7, I-67100, L' Aquila, Italy

4. Tomsk State Pedagogical University, 634061 Tomsk, Russia

5. National Research Tomsk State University, 634050 Tomsk, Russia

6. Institució Catalana de Recerca i Estudis Avancats (ICREA), Barcelona, Spain

7. Consejo Superior de Investigaciones Cientificas, ICE/CSIC-IEEC, Campus UAB, Torre C5-Parell-2a pl, E-08193 Bellaterra (Barcelona), Spain

Abstract

We discuss the Noether Symmetry Approach in the framework of Gauss–Bonnet cosmology showing that the functional form of the F(R, 𝒢) function, where R is the Ricci scalar and 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732314501648

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