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Dynamics of nonminimally coupled scalar field models with generic potentials in FLRW background
General Relativity and Gravitation ( IF 2.1 ) Pub Date : 2021-04-26 , DOI: 10.1007/s10714-021-02796-1
M. Shahalam , Shynaray Myrzakul

We study the phase space analysis of a nonminimally coupled scalar field model with generic 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.



中文翻译:

FLRW背景下具有泛能的非最小耦合标量场模型的动力学

我们研究了具有非凡耦合标量场模型的相空间分析,该模型具有通用电势,例如KKLT,Higgs,反方和反方。我们的研究带来了新的渐近机制,并获得了稳定的de-Sitter解。对于KKLT,我们找不到稳定的de-Sitter解,而希格斯模型满足de-Sitter条件,但由于特征值之一为零,因此在通常意义上没有提供稳定的de-Sitter解。我们获得哈勃常数\({\ dot {H}} = 0 \)的时间导数,状态方程\(w _ {\ phi} \ simeq -1 \),标量场\(\ phi = \)常数和正有效引力常数(\(G_ {eff}> 0 \)),这在我们之前的工作中没有提及。因此,在\(F(\ phi)R \)的情况下结合\(F(\ phi)= 1- \ xi \ phi ^ 2 \)以及平方和平方反比的模型-真正满足稳定的De-Sitter解的要求。

更新日期:2021-04-26
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