标题： 探索最小变形奇异星模型的物理性质以及在$f(\mathcal{Q})$引力中的最大质量限制约束 显示英文标题

标题： Exploring physical properties of minimally deformed strange star model and constraints on maximum mass limit in $f(\mathcal{Q})$ gravity

摘要： 在本工作中，我们受到GW190814事件引力波观测的启发，这表明信号的来源可以归因于一个22.2至24.3$ M_{\odot}$黑洞和一个质量为2.50至2.67$M_{\odot}$的致密天体的致密双星合并。 在当前的阐述中，我们关注合并对中低质量成分的建模。 我们利用$f(\mathcal{Q})$引力以及最小几何变形（MGD）技术来获得质量与GW190814事件一致的致密恒星物体。 从其中一个度规函数的Tolman IV假设出发，结合MIT Bag模型的状态方程，我们能够将描述种子解的引力行为的问题简化为一个积分问题。 通过MGD技术，我们通过对引力势的径向部分进行变形来引入各向异性。 这使我们能够得到两个新的解类，这些解依赖于度规参数$\cal Q$和变形常数$\beta$。 我们证明这两个参数在决定我们模型的热力学行为和稳定性方面起着关键作用。 特别是，我们展示了度规参数和变形常数之间的相互作用导致了前身星的质量预测，作为GW190814的次级成分。 显示英文摘要

摘要： In this work we take our cue from the observations of gravitational waves of the GW190814 event which suggests that source of the signals can be ascribed to a compact binary coalescence of a 22.2 to 24.3$ M_{\odot}$ black hole and a compact object endowed with a mass of 2.50 to 2.67$M_{\odot}$. In the current exposition, we are concerned with modeling of the lower mass component of the coalescence pair. We utilise the $f(\mathcal{Q})$ gravity together with Minimum Geometric Deformation (MGD) technique to obtain compact stellar objects with masses aligned with the GW190814 event. Starting off with the Tolman IV ansatz for one of the metric functions, together with a MIT Bag model equation of state we are able to reduce the problem of fully describing the gravitational behaviour of the seed solution to a quadrature. Through the MGD technique, we introduce anisotropy by deforming the radial part of the gravitational potential. This enables us to obtain two new classes of solutions which depend on the metricity parameter, $\cal Q$ and the deformation constant, $\beta$. We show that these two parameters play a crucial role in determining the thermodynamical behaviour and stability of our models. In particular, we show that the interplay between the metricity parameter and the deformation constant leads to predicted mass of the progenitor articulating as the secondary component of GW190814.