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arXiv · 1702.01603

Noether symmetries and stability of ideal gas solution in Galileon Cosmology

N. Dimakis·Alex Giacomini·Sameerah Jamal·Genly Leon·Andronikos Paliathanasis
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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.

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N. Dimakis, Alex Giacomini, Sameerah Jamal, Genly Leon, Andronikos Paliathanasis. 2017-02-06. Noether symmetries and stability of ideal gas solution in Galileon Cosmology. https://doi.org/10.1103/physrevd.95.064031

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