$f(\mathcal{Q})$ 理论中可行且稳定的致密星
Viable and Stable Compact Stars in $f(\mathcal{Q})$ Theory
AI总结：
本文在 $f(\mathcal{Q})$ 引力理论中利用 Finch-Skea 解研究各向异性致密星，通过边界匹配、能量条件、TOV 方程、因果性条件、Herrera 裂纹方法和绝热指数验证了其可行性与稳定性。
摘要：
在本文中，我们研究了 $f(\mathcal{Q})$ 理论背景下各向异性致密星的可行性与稳定性，其中 $\mathcal{Q}$ 为非度量标量。我们采用 Finch-Skea 解来研究致密星的物理性质。为确定未知常数的取值，我们在边界面上将内部时空与外部区域进行匹配。此外，我们研究了所考虑致密星内部的各种物理量，包括有效物质变量、能量条件和状态方程参数。分别通过 Tolman-Oppenheimer-Volkoff 方程、因果性条件、Herrera 裂纹方法和绝热指数来检验所提出致密星的平衡态与稳定态。研究发现，由于所有必要条件均得到满足，$f(\mathcal{Q})$ 理论中存在可行且稳定的致密星。
英文摘要：
In this paper, we study the viability and stability of anisotropic compact stars in the context of $f(\mathcal{Q})$ theory, where $\mathcal{Q}$ is non-metricity scalar. We use Finch-Skea solutions to investigate the physical properties of compact stars. To determine the values of unknown constants, we match internal spacetime with the exterior region at the boundary surface. Furthermore, we study the various physical quantities, including effective matter variables, energy conditions and equation of state parameters inside the considered compact stars. The equilibrium and stability states of the proposed compact stars are examined through the Tolman-Oppenheimer-Volkoff equation, causality condition, Herrera cracking approach and adiabatic index, respectively. It is found that viable and stable compact stars exist in $f(\mathcal{Q})$ theory as all the necessary conditions are satisfied.
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。
