论文标题
衡量理论中双曲线解决方案的动力分析
Dynamical analysis of a hyperbolic solution in Scale-covariant theory
论文作者
论文摘要
我们研究了重力理论$ f_ {γδ}（ϕ）$ \ cite {canuto：1977zz}的各向同性平坦FLRW模型，该理论是根据普通和协变量的分化来解释的。众所周知，减速参数与时间有关，因此我们将减速参数$ Q $视为$ t $的函数。使用这种方法，我们从宇宙时间$ t $的双曲功能方面发现了所有重要的宇宙学因素。反过来，我们创建了具有后期宇宙行为的模型，该模型始终加速扩展，并在最后面对冻结。该模型显示了从早期到后期的典型深色能量模型。我们计算哈勃参数的约束值$ h_0 = 70.979^{+0.021} _ { - 0.0043} $和模型参数$ n = 1.24079^{+0.00015} _ { - 0.00079} $，使用77 pthe bin的$ OHD $ DATA的联合分析。该模型表现出点型奇异性，从零体积，无限能量密度和温度开始。此外，我们获得了当前减速参数$（q_0）\大约{-0.54} $。此外，我们通过正确分析能量条件，射击参数和态诊断来检查模型的最终行为。最后，所提出的模型的行为就像典型的暗能量模型。
We study an isotropic flat FLRW-model in Scale-covariant theory of gravity $ f_{γδ}(ϕ) $ \cite{Canuto:1977zz} which is explained in terms of ordinary and covariant differentiation of scalar field $ ϕ$. As we know the deceleration parameter is time-dependent, so we consider the deceleration parameter $ q $ as the function of $ t $. Using this methodology, we find all the important cosmological factors in terms of a hyperbolic function of the cosmic time $ t $. In turn, we create the model having the behavior of the late-time universe, which is ever accelerated expanding and faces a Big Freeze at the end. The model shows the quintessence dark energy model from early to late times. We compute the constrained values of Hubble parameter $ H_0=70.979^{+0.021}_{-0.0043} $ and the model parameter $ n=1.24079^{+0.00015}_{-0.00079} $ using joint analysis of the $ OHD $ data of 77-points and Pantheon bin data. The model exhibits point-type singularity, beginning with a point of zero volume, infinite energy density, and temperature. Furthermore, we obtain the present deceleration parameter $ (q_0) \approx {-0.54} $. Also, we examine the ultimate behavior of our model by properly analyzing energy conditions, cosmographical parameters, and Statefinder diagnostic. Finally, the proposed model behaves like a quintessence dark energy model.
