Dynamics of nonminimally coupled scalar field models with generic potentials in FLRW background

Abstract

We study the phase space analysis of a nonminimally coupled scalar field model with different potentials such as KKLT, Higgs, inverse and inverse square. Our investigation brings new asymptotic regimes, and obtains stable de-Sitter solution. In case of KKLT, we do not find stable de-Sitter solution whereas Higgs model satisfies the de-Sitter condition but does not provide a stable de-Sitter solution in usual sense as one of the eigenvalue is zero. We obtain time derivative of Hubble constant $\dot{H}=0$, equation of state $w_{\varphi }\simeq -1$, scalar field $\varphi =$constant and the positive effective gravitational constant ($G_{eff}>0$), which are missed in our earlier work. Therefore, in case of $F(\varphi )R$ coupling with $F(\varphi )=1-\xi {\varphi }^2$ and the models of inverse and inverse square potentials$-$ a true stable de-Sitter solution is trivially satisfied.

arXiv comment13 pages, 5 figures. arXiv admin note: text overlap with arXiv:1905.06856

References in corpus (22)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• The Case for a Positive Cosmological Lambda-term
• Reconstructing Dark Energy
• Scalar-Tensor Models of Normal and Phantom Dark Energy
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Mapping the Cosmological Expansion
• Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
• A larger value for $H_0$ by an evolving gravitational constant
• Cosmological constraints on post-Newtonian parameters in effectively massless scalar-tensor theories of gravity
• Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term
• Preinflationary dynamics in loop quantum cosmology: Monodromy Potential
• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• Complex inflaton field in quantum cosmology
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Classes of non-minimally coupled scalar fields in spatially curved FRW spacetimes
• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• Preinflationary dynamics of power-law potential in loop quantum cosmology
• Cosmological dynamics of a non-minimally coupled bulk scalar field in DGP setup
• Emergence of cosmological scaling behavior in asymptotic regime
• Dynamical analysis for a scalar-tensor model with Gauss-Bonnet and non-minimal couplings

Cited by in corpus (1)

• Cosmological dynamics of holographic dark energy with non-minimally coupled scalar field