Phase space analysis of the F(X) _ V() scalar field Lagrangian and scaling solutions in flat cosmology

18th International Symposium on Particles Strings and Cosmology

De-Santiago, Josue^1,2,3 ; Cervantes-Cota, Jorge L.^2

Universidad Nacional Autónoma de México, México D. F. 04510, Mexico^1

Depto. de Física, Instituto Nacional de Investigaciones Nucleares, México, Mexico^2

Institute of Cosmology and Gravitation, University of Portsmouth, PO1 3FX, United Kingdom^3

关键词: Autonomous differential equation;    Barotropic fluids;    Lagrangian;    Number of degrees of freedom;    Phase-space analysis;    Scalar fields;    Scaling solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/485/1/012017/pdf
DOI  :  10.1088/1742-6596/485/1/012017

来源: IOP

【 摘 要 】

We review a system of autonomous differential equations developed in our previous work [1] describing a flat cosmology filled with a barotropic fluid and a scalar field with a modified kinetic term of the form F(X) - V(π). We analyze the critical points and summarize the conditions to obtain scaling solutions. We consider a set of transformations and show that they leave invariant the equations of motion for the systems in which the scaling solution is obtained, allowing to reduce the number of degrees of freedom.