Classification of the Horndeski cosmologies via Noether Symmetries
General Relativity and Quantum Cosmology
2018-07-04 v3 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
Adopting Noether point symmetries, we classify and integrate dynamical systems coming from Horndeski cosmologies. The method is particularly effective both to select the form of Horndeski models and to derive exact cosmological solutions. Starting from the Lagrangians selected by the Noether symmetries, it is possible to derive several modified theories of gravity like gravity, Brans-Dicke gravity, string inspired gravity and so on. In any case, exact solutions are found out.
Keywords
Cite
@article{arxiv.1803.01429,
title = {Classification of the Horndeski cosmologies via Noether Symmetries},
author = {Salvatore Capozziello and Konstantinos F. Dialektopoulos and Sergey V. Sushkov},
journal= {arXiv preprint arXiv:1803.01429},
year = {2018}
}
Comments
23 pages, to be published in Eur. Phys. J. C