论文标题
在FLRW背景中具有通用电势的非最小耦合标量场模型的动力学
Dynamics of nonminimally coupled scalar field models with generic potentials in FLRW background
论文作者
论文摘要
我们研究具有不同电位的非最小耦合标量场模型的相空间分析，例如KKLT，HIGGS，逆正方形和反平方。我们的调查带来了新的渐近状态，并获得了稳定的DETER解决方案。如果是KKLT，我们找不到稳定的DE特性解决方案，而HIGGS模型满足DE-SITTER条件，但在通常的意义上没有提供稳定的DE-STIRT解决方案，因为特征值之一为零。我们获得了Hubble常数$ \ dot {h} = 0 $的时间导数，状态方程$ w_ϕ \ simeq -1 $，标量字段$ ϕ = $常数和积极的有效重力常数（$ g_ {eff}> 0 $），这在我们的早期工作中错过了。因此，在$ f（ϕ）r $耦合的情况下，$ f（ϕ）= 1-ξϕ^2 $以及反向和反平价的模型$ - $ - 真正的稳定de-sitter解决方案。
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 $w_ϕ\simeq -1$, scalar field $ϕ=$constant and the positive effective gravitational constant ($G_{eff}>0$), which are missed in our earlier work. Therefore, in case of $F(ϕ)R$ coupling with $F(ϕ)= 1-ξϕ^2 $ and the models of inverse and inverse square potentials$-$ a true stable de-Sitter solution is trivially satisfied.
