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arXiv 2404.09698gr-qc
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Myrzakulov $F(T,Q)$ 引力:宇宙学含义与观测约束

Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints

Dinesh Chandra Maurya, K. Yesmakhanova, R. Myrzakulov, G. Nugmanova

AI总结:

本文研究 Myrzakulov $F(T,Q)$ 引力中线性的 $F(T,Q)=λT+μQ$ 情形,在 FLRW 背景下获得三个精确宇宙学解,并利用哈勃数据通过 MCMC 分析施加观测约束,与 $Λ$CDM 模型进行比较。

摘要:

在本文中,我们研究了 Myrzakulov $F(T,Q)$ 引力(即文献 [arXiv:1205.5266] 中提出的 Myrzakulov 引力-III(MG-III))中的一些精确宇宙学模型,并施加了观测约束。MG-III 引力是两种已知引力理论的某种统一,即 $F(T)$ 引力和 $F(Q)$ 引力。通过将度规张量和一般仿射联络视为独立变量,得到了 MG-III 理论的场方程。随后,我们聚焦于表征上述度规-仿射模型的 $F(T,Q)$ 函数为线性的特殊情形,即 $F(T,Q)=λT+μQ$。我们研究了这一线性情形,并考虑 Friedmann-Lemaître-Robertson-Walker 背景来探讨宇宙学方面及其应用。我们在 $T$ 和 $Q$ 的不同情形下得到了修正场方程的三个精确解,其形式为哈勃函数 $H(t)$ 和尺度因子 $a(t)$,并通过哈勃 $H(z)$ 数据集利用 MCMC 分析对其施加了观测约束。我们研究了减速参数 $q(z)$、有效状态方程参数,并对所有三个模型与 $Λ$CDM 模型进行了比较研究。

英文摘要:

In this paper, we investigate some exact cosmological models in Myrzakulov $F(T,Q)$ gravity or the Myrzakulov gravity-III (MG-III) proposed in [arXiv:1205.5266], with observational constraints. The MG-III gravity is some kind of unification of two known gravity theories, namely, the $F(T)$ gravity and the $F(Q)$ gravity. The field equations of the MG-III theory are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the particular case in which the $F(T,Q)$ function characterizing the aforementioned metric-affine models is linear that is $F(T,Q)=λT+μQ$. We investigate this linear case and consider a Friedmann-Lemaître-Robertson-Walker background to study cosmological aspects and applications. We have obtained three exact solutions of the modified field equations in different cases $T$ and $Q$, in the form of Hubble function $H(t)$ and scale factor $a(t)$ and placed observational constraints on it through the Hubble $H(z)$ datasets on it using the MCMC analysis. We have investigated the deceleration parameter $q(z)$, effective EoS parameters and a comparative study of all three models with $Λ$CDM model has been carried out.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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