填补阴影：$f(R, L_m, T)$引力中引力真空星吸积的命题模型
Filling the Shadow: A Propositional Model of Gravastar Accretion in $f(R, L_m, T)$ Gravity
AI总结：
本文提出$f(R, L_m, T)$引力下的引力真空星动态吸积命题模型，构建正则旋转度规，分析耦合参数对ISCO的影响，预言其独特热辐射可形成“填补后”的中心阴影，为后续GRMHD研究提供基线。
AI中文摘要：
尽管广义相对论仍是我们经过最严格检验的引力框架，但标准黑洞解中奇点的理论存在性仍推动着对数学上正则替代方案的探索。引力真空星（gravastars）是一种无奇点的模型，它用一个物理的超刚性薄壳取代了事件视界。近期研究表明，$f(R, L_m, T)$引力这类扩展理论可通过几何与物质间的非最小耦合在结构上支撑这类天体。基于这些静态基础，本文提出一个现象学命题模型，以探究修正引力引力真空星与赤道吸积流之间的动态相互作用。通过数值求解修正的托尔曼-奥本海默-沃尔科夫（Tolman-Oppenheimer-Volkoff）方程并应用非复杂化算法，我们构建了一个数学上正则的旋转度规假设。我们证明，修正引力耦合参数会系统性地改变有效势，移动最内稳定圆轨道（Innermost Stable Circular Orbit, ISCO）的位置。此外，我们探究了等离子体与引力真空星表面碰撞的理想化热力学，表明其会产生独特的热辐射，理论上可在干涉测量观测中形成“填补后的”中心阴影。在承认观测简并性的挑战以及刻意省略复杂辐射压反馈的同时，我们提供这些几何与热信号作为透明的概念基线，以推动未来的广义相对论磁流体动力学（general relativistic magnetohydrodynamic, GRMHD）研究。
英文摘要：
While General Relativity remains our most rigorously tested framework for gravitation, the theoretical persistence of singularities within standard black hole solutions continues to motivate the exploration of mathematically regular alternatives. Gravitational vacuum stars (gravastars) offer a non-singular model, substituting the event horizon with a physical, ultra-stiff thin shell. Recent studies have demonstrated that extended theories, such as $f(R, L_m, T)$ gravity, can structurally support these objects by utilizing the non-minimal coupling between geometry and matter. Building upon these static foundations, this paper presents a phenomenological propositional model to explore the dynamic interactions between modified-gravity gravastars and equatorial accretion flows. By numerically solving the modified Tolman-Oppenheimer-Volkoff equations and applying a non-complexifying algorithm, we construct a mathematically regular rotating metric ansatz. We demonstrate that the modified gravity coupling parameter systematically alters the effective potential, shifting the location of the Innermost Stable Circular Orbit (ISCO). Furthermore, we explore the idealized thermodynamics of plasma colliding with the gravastar surface, suggesting a distinct thermal emission that could theoretically produce a ``filled-in'' central shadow in interferometric observations. While acknowledging the challenges of observational degeneracy and the deliberate omission of complex radiation pressure feedback, we offer these geometric and thermal signatures as a transparent conceptual baseline to motivate future general relativistic magnetohydrodynamic (GRMHD) campaigns.
