标题： 宇宙学在$f(Q)$引力中的研究 显示英文标题

标题： Cosmography in $f(Q)$ gravity

摘要： 宇宙学是一種以模型無關的方式研究宇宙膨脹歷史的理想工具。 重力修正理論中的運動方程通常非常複雜；宇宙學可以選擇實際模型而不事先強加任意選擇。 我們用模型無關的方法根據可測量的宇宙學參數推導出$f(z)$及其直到四階的導數。 然後我們直接將這些函數擬合到光度距離上。 通過考慮三組不同的宇宙學函數，我們進行了MCMC分析。 利用最大的Ia型超新星Pantheon樣本，我們得出了哈勃常數$H_0$和宇宙學函數的約束條件，並發現亮度距離泰勒展開式中的前兩項在$f(Q)$重力中起主導作用。 显示英文摘要

摘要： Cosmography is an ideal tool to investigate the cosmic expansion history of the Universe in a model-independent way. The equations of motion in modified theories of gravity are usually very complicated; cosmography may select practical models without imposing arbitrary choices a priori. We use the model-independent way to derive $f(z)$ and its derivatives up to fourth order in terms of measurable cosmographic parameters. We then fit those functions into the luminosity distance directly. We perform the MCMC analysis by considering three different sets of cosmographic functions. Using the largest supernovae Ia Pantheon sample, we derive the constraints on the Hubble constant $H_0$ and the cosmographic functions, and find that the former two terms in Taylor expansion of luminosity distance work dominantly in $f(Q)$ gravity.