This paper aims to figure out the existence and development of some particular celestial bodies possessing charged anisotropic interiors in the framework of $f(\mathbb{G},\mathbb{T})$ gravity. The modified field equations corresponding to a quadratic ${\mathbb{G}}^2+\aleph \mathbb{T}$ model are established in which MIT bag model equation of state is employed to engage the role of bag constant, where $\aleph$ symbolizes the coupling parameter. We then consider a Finch–Skea metric to uniquely solve the field equations. The resulting physical parameters are then explored graphically by using estimated data of five distinct compact stars PSR J1614-2230, Vela X-I, PSRJ1903+327, 4U1820-30 and Her X-I. Further, the regularity conditions, role of anisotropic pressure and viability criteria are investigated for different choices of the charge and bag constant. The stability is also determined through causality condition and the adiabatic index. We conclude that all the five charged star candidates correspond to viable and stable structures under the imposed constraints.

本文的目的是在以下框架内弄清楚某些具有带电各向异性内部的特定天体的存在和发展。$F（\mathbb{G},\mathbb{时间}）$重力。对应于二次方程的修正场方程${\mathbb{G}}^2+\aleph \mathbb{时间}$建立了模型，其中利用MIT袋模型状态方程来发挥袋常数的作用，其中$\aleph$表示耦合参数。然后我们考虑使用 Finch-Skea 度量来唯一地求解场方程。然后利用五颗不同致密星 PSR J1614-2230、Vela XI、PSRJ1903+327、4U1820-30 和 Her XI 的估计数据以图形方式探索由此产生的物理参数。此外，针对不同的电荷和袋常数选择，研究了规律性条件、各向异性压力的作用和生存能力标准。稳定性还通过因果关系条件和绝热指数来确定。我们得出的结论是，所有五颗带电恒星候选者都对应于强加约束下可行且稳定的结构。