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arXiv 2402.07515gr-qchep-th
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圈量子宇宙学中利用观测数据对暗能量模型与ΛCDM的引力透镜研究

Gravitational Lensing of Dark Energy Models and $Λ$CDM Using Observational data in Loop Quantum Cosmology

Rownak Kundu, Ujjal Debnath, Himanshu Chaudhary, G. Mustafa

AI总结:

本文在圈量子宇宙学框架下,利用最新H(z)、BAO等观测数据约束VsMCG和VMCG两种暗能量模型及ΛCDM的参数,研究其引力透镜光学深度随红移的变化,并分析H_0与r_d张力及模型区分度。

摘要:

本文通过考察圈量子宇宙学中的两种暗能量模型——黏性修正Chaplygin气体(VsMCG)和可变修正Chaplygin气体(VMCG)——并与ΛCDM模型进行对比,研究了晚期宇宙的加速膨胀。目标是利用ΛCDM模型以及来自宇宙计时器(CC)的30个最新H(z)测量数据(包括Ia型超新星、伽马射线暴(GRB)、类星体)和红移范围0.106至2.33内的24个非相关重子声学振荡(BAO)测量数据来约束宇宙学参数。同时纳入Riess在2022年发布的最新哈勃常数测量值以增强约束。在ΛCDM、VsMCG和VMCG框架下,获得了哈勃参数(H_0)和声视界(r_d)的最佳拟合参数。结果突显了晚期观测测量得到的H_0与r_d值之间的显著差异,反映了已知的H_0和r_d张力。通过绘制log(τ(z_l)/H_0^{-3} τ_N)随z_l的变化图,研究了两种暗能量模型的引力透镜光学深度。两种模型中发现引力透镜(光学深度)的概率均随透镜红移z_l的增加而增大。对不同参数约束下光学深度行为的变化进行了图形化分析。对VsMCG和VMCG与ΛCDM进行了联合分析。虽然这些模型在早期宇宙中存在分歧,但在低红移处无法区分。利用赤池信息准则,分析表明两种暗能量模型均不能

英文摘要:

This paper investigates the accelerated cosmic expansion in the late Universe by examining two dark energy models, viscous modified Chaplygin gas (VsMCG) and variable modified Chaplygin gas (VMCG), within loop quantum cosmology alongside the $Λ$CDM model. The objective is to constrain cosmic parameters using the $Λ$CDM model and 30 of the latest $H(z)$ measurements from cosmic chronometers (CC), including Type Ia Supernovae, Gamma-Ray Bursts (GRB), Quasars, and 24 uncorrelated baryon acoustic oscillations (BAO) measurements across a redshift range from 0.106 to 2.33. The latest Hubble constant measurement from Riess in 2022 is included to enhance constraints. In the $Λ$CDM, VsMCG, and VMCG frameworks, best-fit parameters for the Hubble parameter ($H_0$) and sound horizon ($r_d$) are obtained. The results highlight significant disparities between $H_0$ and $r_d$ values from late-time observational measurements, reflecting the known $H_0$ and $r_d$ tensions. The gravitational lensing optical depth of the two dark energy models is studied by plotting $\log(τ(z_l)/H_0^{-3} τ_N)$ vs $z_l$. The probability of finding gravitational lenses (optical depth) in both models increases with lens redshift $z_l$. The change in optical depth behavior for different parameter constraints is graphically analyzed. A joint analysis of VsMCG and VMCG with $Λ$CDM is conducted. While the models diverge in the early Universe, they are indistinguishable at low redshift. Using the Akaike information criteria, the analysis indicates that neither dark energy model can be

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