In this paper, we consider a holographic dark energy model driven by the gravitationally induced adiabatic matter creation with constant creation rate. It is assumed that the present accelerating stage is a consequence of the negative pressure describing the irreversible process of gravitational matter creation. Exact solutions are obtained to discuss the evolution of the universe. We obtain the best-fit values of the model parameters through MCMC method by the use of EMCEE python package on latest observational data. With the best-fit values, it is found that the universe shows transition from decelerated phase to accelerated phase. We carry out the diagnostic analysis to distinguish our model with other standard dark energy models. We also discuss the cosmography analysis of our model. We analyse the model by applying Akaike information criterion (AIC) and Bayesian information criterion (BIC) based on the penalization associated to the number of parameters. The results show that the model behaves quintessence like and approaches to Λ $\Lambda $ CDM model in late time.

中文翻译：

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具有物质产生的全息暗能量模型的观测约束

在本文中，我们考虑了一个由引力诱导绝热物质以恒定产生速率产生驱动的全息暗能量模型。假设目前的加速阶段是负压的结果，描述了引力物质产生的不可逆过程。得到精确的解来讨论宇宙的演化。我们通过使用 EMCEE python 包在最新的观测数据上通过 MCMC 方法获得模型参数的最佳拟合值。使用最佳拟合值，发现宇宙表现出从减速阶段到加速阶段的转变。我们进行诊断分析以将我们的模型与其他标准暗能量模型区分开来。我们还讨论了我们模型的宇宙学分析。我们基于与参数数量相关的惩罚，通过应用 Akaike 信息准则 (AIC) 和贝叶斯信息准则 (BIC) 来分析模型。结果表明，该模型在后期表现出精髓并逼近Λ$\Lambda$CDM模型。