Research PaperNo Access
Dynamical system analysis of a nonminimally coupled scalar field
https://doi.org/10.1142/S0218271819501736Cited by:4 (Source: Crossref)
Abstract
This paper deals with a nonminimally coupled scalar field in the background of homogeneous and isotropic Friedmann–Lemaître–Robertson–Walker (FLRW) flat spacetime. As Einstein field equations are coupled second-order nonlinear differential equations, it is very hard to find exact solutions. By suitable choice of variables, we transform Einstein field equations to an autonomous system and critical points are determined. We use center manifold theory to characterize nonhyperbolic critical points and are found to be saddle in nature. We discuss possible bifurcation scenarios, which indicate the existence of the cosmological bouncing model.
Keywords:
PACS: 98.80.−k, 05.45.−a, 02.40.Sf, 02.40.Tt
| You currently do not have access to the full text article. |
|---|
