标题： 电荷对$f(\mathfrak{R},\mathcal{T}^{2})$引力中夸克星的影响 显示英文标题

标题： Impact of Charge on Gravastars in $f(\mathfrak{R},\mathcal{T}^{2})$ Gravity

摘要： 本文研究了电荷对紧凑天体结构的影响，该结构也被称为真空凝聚星，在$f(\mathfrak{R},\mathcal{T}^{2})$引力背景中。 该物体被认为是黑洞的替代物，其结构包含三个不同的区域，即内部、外部和薄壳区。 我们分析了这种修正理论的一个特定模型中的这些区域。 在星体的内部区域，所考虑的状态方程表明能量密度等于负压，这是对球形壳产生排斥力的原因。 在中间壳层中，压力和能量密度相等，并包含超相对论流体。 薄壳的向内引力与星体内部区域施加的力相平衡，从而允许形成无奇点的物体。 Reissner-Nordstrom度规描述了外部真空球形区域。 此外，我们讨论了电荷对星体物理属性的影响，如状态方程参数、熵、固有长度和能量。 我们得出结论，在这种修正理论中，带电星体的无奇点解在物理上是一致的。 显示英文摘要

摘要： This paper studies the influence of charge on a compact stellar structure also regarded as vacuum condensate star in the background of $f(\mathfrak{R},\mathcal{T}^{2})$ gravity. This object is considered the alternate of black hole whose structure involves three distinct regions, i.e., interior, exterior and thin-shell. We analyze these domains of a gravastar for a particular model of this modified theory. In the inner region of a gravastar, the considered equation of state defines that energy density is equal to negative pressure which is the cause of repulsive force on the spherical shell. In the intermediate shell, pressure and energy density are equal and contain ultra-relativistic fluid. The inward-directed gravitational pull of thin-shell counterbalance the force exerted by the inner region of a gravastar allowing the formation of a singularity-free object. The Reissner-Nordstrom metric presents the outer vacuum spherical domain. Moreover, we discuss the impact of the charge on physical attributes of a gravastar such as the equation of state parameter, entropy, proper length and energy. We conclude that singularity-free solutions of charged gravastar are physically consistent in this modified theory.