Noether symmetries and stability of ideal gas solution in Galileon Cosmology

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-Lemaître-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.

arXiv comment14 pages, 4 figures; discussion improved; to appear in Phys. Rev. D

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