Non-linear Schrödinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions
arXiv:1908.11265 · doi:10.1142/S0217732320501576
Abstract
Time-independent non-linear Schrödinger-type (NLS) formulation of FRW cosmology with canonical scalar field are considered in case of two barotropic fluids. We derived Friedmann formulation variables in terms of NLS variables. Seven exact solutions found by D'Ambroise \cite{DAmbroise:2010dgl} and one new found solution are explored and tested in cosmology. The result suggests that time-independent NLS formulation of cosmology case should be upgraded to the time-dependent case.
arXiv comment11 pages, 2 figures
References in corpus (9)
- Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
- The Ermakov-Pinney Equation in Scalar Field Cosmologies
- Cosmic Dynamics of Bose-Einstein Condensates
- Remarks on the method of comparison equations (generalized WKB method) and the generalized Ermakov-Pinney equation
- Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schrödinger-type formulation
- Power-law expansion cosmology in Schrödinger-type formulation
- Parametric solution of certain nonlinear differential equations in cosmology
- Phantom expansion with non-linear Schrödinger-type formulation of scalar field cosmology
- Slow-roll, acceleration, the Big Rip and WKB approximation in NLS-type formulation of scalar field cosmology