标题： 宇宙学对正切巴塞勒-克罗皮纳暗能量模型的检验 显示英文标题

标题： Cosmological tests of the osculating Barthel-Kropina dark energy model

摘要： 我们进一步研究了基于芬斯勒几何启发的巴塞特-克罗皮纳宇宙学的暗能量模型。 巴塞特-克罗皮纳宇宙学方法基于在切触芬斯勒几何中引入巴塞特联络，该联络具有是黎曼度量的列维-奇维塔联络的性质。 通过假设背景黎曼度量为弗里德曼-勒梅特-罗伯逊-沃克类型，从巴塞特-克罗皮纳模型的广义弗里德曼方程可以生成有效的几何暗能量成分，其有效、几何类型的压强满足线性的多方型状态方程。 本文详细考虑了这种暗能量模型的宇宙学检验和与观测数据的比较。 为了限制巴塞特-克罗皮纳模型参数以及状态方程参数，我们使用了57个哈勃数据点以及Pantheon Ia型超新星数据样本。 统计分析通过使用马尔可夫链蒙特卡洛（MCMC）模拟完成。 还进行了与标准 $\Lambda$ CDM 模型的详细比较，以赤池信息准则（AIC）和贝叶斯信息准则（BIC）作为两种模型选择工具。 还考虑了由急动量和瞬时参数组成的状态求解器诊断以及 $Om(z)$ 诊断，用于巴塞特-克罗皮纳和 $\Lambda$ CDM 宇宙学的对比研究。 我们的结果表明，巴塞特-克罗皮纳暗能量模型很好地描述了观测数据，因此它可以被视为 $\Lambda$ CDM 模型的一个可行替代方案。 显示英文摘要

摘要： We further investigate the dark energy model based on the Finsler geometry inspired osculating Barthel-Kropina cosmology. The Barthel-Kropina cosmological approach is based on the introduction of a Barthel connection in an osculating Finsler geometry, with the connection having the property that it is the Levi-Civita connection of a Riemannian metric. From the generalized Friedmann equations of the Barthel-Kropina model, obtained by assuming that the background Riemannian metric is of the Friedmann-Lemaitre-Robertson-Walker type, an effective geometric dark energy component can be generated, with the effective, geometric type pressure, satisfying a linear barotropic type equation of state. The cosmological tests, and comparisons with observational data of this dark energy model are considered in detail. To constrain the Barthel-Kropina model parameters, and the parameter of the equation of state, we use 57 Hubble data points, and the Pantheon Supernovae Type Ia data sample. The st statistical analysis is performed by using Markov Chain Monte Carlo (MCMC) simulations. A detailed comparison with the standard $\Lambda$CDM model is also performed, with the Akaike information criterion (AIC), and the Bayesian information criterion (BIC) used as the two model selection tools. The statefinder diagnostics consisting of jerk and snap parameters, and the $Om(z)$ diagnostics are also considered for the comparative study of the Barthel-Kropina and $\Lambda$CDM cosmologies. Our results indicate that the Barthel-Kropina dark energy model gives a good description of the observational data, and thus it can be considered a viable alternative of the $\Lambda$CDM model.