Noether symmetries and stability of ideal gas solution in Galileon Cosmology
General Relativity and Quantum Cosmology
2017-03-23 v3 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A class of generalized Galileon cosmological models, which can be described by a point-like Lagrangian, is considered in order to utilize Noether's Theorem to determine conservation laws for the field equations. In the Friedmann-Lema\^itre-Robertson-Walker universe, the existence of a nontrivial conservation law indicates the integrability of the field equations. Due to the complexity of the latter, we apply the differential invariants approach in order to construct special power-law solutions and study their stability.
Keywords
Cite
@article{arxiv.1702.01603,
title = {Noether symmetries and stability of ideal gas solution in Galileon Cosmology},
author = {N. Dimakis and Alex Giacomini and Sameerah Jamal and Genly Leon and Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:1702.01603},
year = {2017}
}
Comments
14 pages, 4 figures; discussion improved; to appear in Phys. Rev. D