标题： 椭球宇宙中的f（R）引力 显示英文标题

标题： f(R) Gravity in an Ellipsoidal Universe

摘要： 我们提出了一种基于各向异性背景和特定的$f(R)$引力理论的宇宙学新模型。 结果显示，在 Bianchi 类型 I 背景下，$f(R)$引力的场方程导致了修正的 Friedmann 方程。 该模型包含两个重要参数：$\gamma$和$\delta$。 因此，我们简单地将我们的模型称为$\gamma\delta$CDM。 它在两个重要方面与$\Lambda$CDM 模型不同：首先，不同能量密度对哈勃参数的贡献以不同的权重进行加权，其次，能量密度对红移的依赖关系也被修改了。 这种非正统的能量含量与哈勃参数的关系提出了解释宇宙历史的新方法。 然而，这种解决方案不允许存在宇宙常数成分，但可能存在依赖于红移的暗能量贡献。 我们通过最佳拟合不同数据集来测试新解的观测相关性。 我们发现，我们的模型可以容纳黑洞的宇宙耦合概念。 显示英文摘要

摘要： We propose a new model of cosmology based on an anisotropic background and a specific $f(R)$ theory of gravity. It is shown that field equations of $f(R)$ gravity in a Bianchi type I background give rise to a modified Friedmann equation. This model contains two important parameters: $\gamma$ and $\delta$. We, thus, simply call our model $\gamma\delta$CDM. It is distinguished in two important aspects from the $\Lambda$CDM model: firstly, the contribution of different energy densities to the Hubble parameter are weighted with different weights, and then, dependence of energy densities to redshift is modified as well. This unorthodox relation of energy content to Hubble parameter brings forth a new way of interpreting the cosmological history. This solution does not allow the existence of a cosmological constant component, however, a dark energy contribution with dependence on redshift is possible. We tested observational relevance of the new solution by best fitting to different data sets. We found that our model could accommodate the idea of cosmological coupling of black holes.