In this paper, we have considered the generalized cosmic Chaplygin gas (GCCG) in the background of Brans–Dicke (BD) theory and also assumed that the Universe is filled in GCCG, dark matter and radiation. To investigate the data fitting of model parameters, we have constrained the model using recent observations. Using χ2 minimum test, the best-fit values of the model parameters are determined by OHD+CMB+BAO+SNIa joint data analysis. We have drawn the contour figures for different confidence levels 1σ, 2σ and 3σ. To examine the viability of the GCCG model in BD theory, we have also determined △AIC and △BIC using the information criteria (AIC and BIC). Graphically, we have analyzed the natures of the equation of state parameter and deceleration parameter for our best-fit values of model parameters. Also, we have studied the square speed of sound vs2 which lies in the interval (0, 1) for expansion of the Universe. So, our considered model is classically stable by considering the best-fit values of the model parameters due to the data analysis.

中文翻译：

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Brans-Dicke 理论背景下广义宇宙 Chaplygin 气体的观测数据分析

在本文中，我们考虑了布兰斯-迪克（BD）理论背景下的广义宇宙查普利金气体（GCCG），并假设宇宙充满了 GCCG、暗物质和辐射。为了研究模型参数的数据拟合，我们使用最近的观察来约束模型。使用χ2最小检验，模型参数的最佳拟合值由OHD+CMB+BAO+SNIa联合数据分析确定。我们绘制了不同置信水平的等高线图1σ,2σ和3σ. 为了检验 GCCG 模型在 BD 理论中的可行性，我们还使用信息标准（AIC 和 BIC）确定了△AIC 和△BIC。以图形方式，我们分析了状态方程参数和减速参数的性质，以获得模型参数的最佳拟合值。此外，我们研究了声速的平方vs2位于区间(0, 1)为了宇宙的膨胀。因此，由于数据分析，我们考虑的模型通过考虑模型参数的最佳拟合值是经典稳定的。