2 research outputs found
Hidden invariance in Gurzadyan-Xue cosmological models
The dark energy formula derived by Gurzadyan and Xue which leads to a value
fitting the SN data, provides a scaling relation between the physical constants
and cosmological parameters and defines a set of cosmological models. In
previous works we have considered several of those models and derived the
cosmological equations for each case. In this letter, we present the phase
portrait analysis of those models. Surprisingly we found, first, that the
separatrix in the phase space which determines the character of solutions
depends solely on the value of the current matter density. Namely, at
the equations describe Friedmannian Universe with the classical
singularity at the beginning. While at all solutions for all
models start with zero density and non vanishing scale factor. Secondly, more
remarkable, the value defining the separatrix is the same
for all models, which reveales an underlying invariance hidden in the models,
possibly, due to the basic nature of the GX-scaling.Comment: to appear in Physics Letters