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.

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

References in corpus (16)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Covariant Galileon
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• G-inflation: inflation driven by the Galileon field
• Cosmological Solutions of $f(T)$ Gravity
• The Effective Field Theory of nonsingular cosmology
• Using the Noether symmetry approach to probe the nature of dark energy
• Dynamical analysis of generalized Galileon cosmology
• Noether symmetry in $f(R)$ cosmology
• G-Bounce Inflation: Towards Nonsingular Inflation Cosmology with Galileon Field
• Fundamental theorem on gauge fixing at the action level
• Constraining some Horndeski gravity theories
• Gravity and Scalar Fields
• Dynamical symmetries and observational constraints in scalar field cosmology
• Noether analysis of Scalar-Tensor Cosmology

Cited by in corpus (1)

• New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas