AI 中文总结
该研究在非最小耦合引力下，通过推导修正坍缩方程得到不同近似 regime 的不稳定性约束，明确物质-几何耦合的暗源项可增强带电各向异性致密天体的稳定性，为相关天体演化研究提供框架。
AI 中文摘要
我们研究了$f(R,\boldsymbol{\textit{L}}_{m})$引力框架下带电球对称各向异性物质构型的动力学不稳定性与引力坍缩，分析聚焦于各向异性压力、扰动、电荷以及修正引力源项对致密天体稳定性的综合影响。采用特定物态方程，通过绝热指数关联静态与扰动变量；利用扰动方案推导修正后的流体静力学平衡方程与坍缩方程，得到牛顿 regime 与后牛顿 regime 下的不稳定性约束。结果表明，系统稳定性由向内的引力吸引与向外的压力支撑的竞争关系决定；此外，非最小物质-几何耦合产生的暗源项会修正坍缩条件，可增强带电流体的稳定性。这些发现为理解非最小耦合引力下致密自引力致密天体的演化与坍缩提供了有用框架。
英文摘要
We investigate the dynamical instability and gravitational collapse of charged, spherically symmetric anisotropic matter configurations within $f(R,\mathcal{L}_{m})$ gravity. The analysis focuses on the combined effects of anisotropic pressure, perturbations, electric charge, and modified-gravity source terms on the stability of compact objects. A specific equation of state is adopted to relate the static and perturbed variables through the adiabatic index. Using a perturbation scheme, we derive the modified hydrostatic equilibrium and collapse equations and obtain instability constraints in both Newtonian and post-Newtonian regimes. The results show that the stability of the system is governed by the competition between inward gravitational attraction and outward pressure support. In addition, the dark source terms generated by the non-minimal matter-geometry coupling modify the collapse conditions and can enhance the stability of the charged fluid. These findings provide a useful framework for understanding the evolution and collapse of dense self-gravitating compact objects in non-minimally coupled gravity.
Comments23 pages, no figures
