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arXiv · 2011.06930

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

M. Shahalam·Shynaray Myrzakul
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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 $w_{\phi}\simeq -1$, scalar field $\phi=$constant and the positive effective gravitational constant ($G_{eff}>0$), which are missed in our earlier work. Therefore, in case of $F(\phi)R$ coupling with $F(\phi)= 1-\xi\phi^2 $ and the models of inverse and inverse square potentials$-$ a true stable de-Sitter solution is trivially satisfied.

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M. Shahalam, Shynaray Myrzakul. 2020-11-12. Dynamics of nonminimally coupled scalar field models with generic potentials in FLRW background. https://doi.org/10.1007/s10714-021-02796-1

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