Abstract

The existence of Lyra’s cosmology is studied with the least interaction between normal matter and dark energy using Bianchi-III space-time in a nonsingular hybrid universe. The model explains the phase transition of the universe from deceleration to acceleration in the presence of a perfect fluid and naturewise anisotropic dark energy interacting very minimally to keep the energy-momentum tensors conserved independently. We take the hybrid average scale factor as \(a=(t^{m}e^{\lambda t})^{1/n}\), where \(m,\lambda,n\) are positive constants, which, with a time-varying deceleration parameter, describes both the early and late time features of universe. The time-varying displacement \(\beta(t)\) of Lyra’s manifold used in the present model correlates with the nature of the cosmological constant \(\Lambda(t)\). The physical and geometric properties of the model for a nonuniformly accelerated universe are also discussed with a comparison with other models.

中文翻译：

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天琴座宇宙中一个非奇异混合宇宙中的Bianchi-III转换时空

摘要

在非奇异的混合宇宙中，利用比安奇-III时空，以正常物质与暗能量之间的相互作用最小的方式研究了天琴座宇宙学的存在。该模型解释了在存在完美流体和自然各向异性各向异性暗能量的情况下，宇宙从减速到加速的相变非常小，以保持能量动量张量独立守恒。我们将混合平均比例因子设为\（a =（t ^ {m} e ^ {\\ lambda t}）^ {1 / n} \），其中\（m，\ lambda，n \）是正常数，它具有随时间变化的减速度参数，描述了宇宙的早期和晚期时间特征。时变位移\（\ beta（t）\）本模型中使用的Lyra流形的σ与宇宙常数\（\ Lambda（t）\）的性质相关。还讨论了非均匀加速宇宙模型的物理和几何特性，并与其他模型进行了比较。