In this paper, we study the mechanism of the cosmic model in the presence of generalized ghost pilgrim dark energy (GGPDE) and matter in locally rotationally symmetric (LRS) Bianchi type-I space-time by the utilization of new holographic DE in Saez–Ballester theory. Here, we discuss all the data for three scenarios, the first is supernovae type-Ia union data, the second is SN Ia data in combination with baryon acoustic oscillation and cosmic microwave background observations and the third is a combination with observational Hubble data and joint light-curve analysis observations. From this, we get a model of our universe, where transit state exists from deceleration to acceleration phase. Here, we have observed that the results yielded by cosmological parameters like ρΛ (energy density), equation of state ωΛ, squared speed of sound (vs2) and (ωΛ–ωΛ′) are compatible with the recent observations. The (ωΛ–ωΛ′) trajectories lie in both thawing and freezing regions and the correspondence of the quintessence field with GGPDE is also discussed. Some physical aspects of the GGPDE models are mainly highlighted.

中文翻译：

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Saez-Ballester 引力理论中广义幽灵朝圣者暗能量 (GGPDE) 的宇宙学模型

在本文中，我们利用 Saez 中的新全息 DE 研究了存在广义鬼朝圣者暗能量 (GGPDE) 和局部旋转对称 (LRS) Bianchi I 型时空物质的宇宙模型机制-巴列斯特理论。在这里，我们讨论三种场景的所有数据，第一个是超新星 Ia 型联合数据，第二个是 SN Ia 数据结合重子声振荡和宇宙微波背景观测，第三个是哈勃观测数据和联合数据光曲线分析观察。由此，我们得到了一个宇宙模型，其中存在从减速阶段到加速阶段的过渡状态。在这里，我们观察到由宇宙学参数产生的结果，如ρΛ（能量密度），状态方程ωΛ, 声速的平方(vs2)和(ωΛ–ωΛ')与最近的观察结果相符。这(ωΛ–ωΛ')轨迹位于解冻和冻结区域，并讨论了精华场与GGPDE的对应关系。主要强调 GGPDE 模型的一些物理方面。