标题： 修正EiBI引力的太阳能GES结构 显示英文标题

标题： Solar GES-structure modified with EiBI gravity

摘要： 在后牛顿时代，受爱丁顿启发的Born-Infeld（EiBI）理论被视为广义相对论弱场（非相对论性）形式的一种改进修正，在研究密集天体的动力学方面发挥了作用，这得益于修正后的引力效应。 通过添加一个宇宙修正因子（称为EiBI引力参数），这种EiBI理论赋予通常的引力泊松方程一个新的形式。 系统地将这种引力纳入基本结构方程中，可能会导致现有的太阳模型更加现实，且不存在任何端点奇异性。 因此，提出了一种理论模型，以研究EiBI引力对太阳等离子体平衡结构的重力静电鞘（GES）形式的影响。 研究表明，基于GES的太阳等离子体动力学与之前报道的牛顿GES模型研究相比有显著的修改。 太阳自引力的平衡有界解显示，EiBI修正的太阳表面边界（SSB）存在于新的日心径向位置$\xi = 4$（在Jeansean尺度上）。 发现EiBI引力使当前的SSB相对于原始的牛顿SSB向外移动了14.28%。 对各种相关太阳参数（如重力静电势、场和马赫数）的EiBI修正引力效应进行了图解分析。 预计我们的分析可以进一步应用于研究太阳等离子体平衡和波动动力学在真实修正后的后牛顿引力环境中，无论是有界的（内部）还是无界的（外部）太阳等离子体尺度上。 显示英文摘要

摘要： In the post-Newtonian era, the Eddington-inspired Born-Infeld (EiBI) theory, considered as an improved modification of the Einsteinian general relativity formalism in the weak field regime (non-relativistic), has enabled us to study the dynamics of dense astroobjects in light of the modified gravitational effects. This EiBI theory imparts a new shape to the usual gravitational Poisson equation through the addition of a cosmological correction factor, termed as the EiBI gravity parameter. A systematic inclusion of this gravity in the basic structure equation could lead to a realistic picture of the existing solar models free from any end-stage singularity. A theoretic model is accordingly proposed to investigate the effect of the EiBI gravity on the Gravito-Electrostatic Sheath (GES) formalism of the equilibrium solar plasma structure. This study shows that the GES-based solar plasma dynamics is noticeably modified against the previously reported Newtonian GES-model studies. An equilibrium bounded solution for the solar self-gravity shows the EiBI-modified solar surface boundary (SSB) to exist at a new helio-centric radial location $\xi = 4$ (on the Jeansean scale). It is found that the EiBI gravity shifts the present SSB outwards by 14.28% relative to the original Newtonian SSB. The EiBI-modified gravity effects on diverse relevant solar parameters, such as the gravito-electrostatic potentials, fields, and Mach numbers, are illustratively analyzed. It is anticipated that our analyses could be applied further to see the solar plasma equilibrium and fluctuation dynamics in realistically modified post-Newtonian gravity environments on both the bounded (interior) and unbounded (exterior) solar plasma scales.