标题： DBI标量场宇宙学在重合$f(Q)$引力中的动力系统分析 显示英文标题

标题： Dynamical system analysis of DBI scalar field cosmology in coincident $f(Q)$ gravity

摘要： 在本文中，我们提供了在修改的$f(Q)$引力背景下 DBI（Dirac-Born-Infeld）标量场的动力系统分析。我们采用了一种多项式形式的修改引力，并使用了两种不同类型的标量势，即多项式和指数型，得到了一个闭合的自治动力系统方程。我们分析了该系统的固定点，并评论了在何种条件下该模型中会发生减速到晚期加速的现象。我们注意到这两个模型的相似性，并且还表明我们的结果确实与之前在爱因斯坦引力上的工作一致。我们还通过绘制EoS（$\omega$）、能量密度（$\Omega$）和减速参数（$q$）相对于e-fold时间的图，并与当前值进行比较，研究了我们模型的现象学含义。最后，我们通过观察在修改的$f(Q)$引力中动力系统分析的不同之处来总结本文，并提供了我们工作的部分未来研究方向。 显示英文摘要

摘要： In this article, we offer the dynamical system analysis of the DBI (Dirac-Born-Infeld) scalar field in a modified $f(Q)$ gravity context. We have taken a polynomial form of modified gravity and used two different kinds of scalar potential, i.e., polynomial and exponential, and found a closed autonomous dynamical system of equations. We have analyzed the fixed points of such a system and commented on the conditions under which deceleration to late-time acceleration happens in this model. We have noted the similarity of the two models and have also shown that our result is indeed consistent with the previous work done on Einstein's gravity. We have also investigated the phenomenological implications of our models by plotting the EoS ($\omega$), Energy density ($\Omega$), and deceleration parameter ($q$) w.r.t. to e-fold time and comparing with the present value. Finally, we conclude the paper by observing how the dynamical system analysis differs in modified $f(Q)$ gravity, and we also provide some of the future scope of our work.