We investigate the influence of the higher order curvature terms on the static configuration of a charged dust distribution in EGB gravity. The EGB field equations for such a fluid are generated in higher dimensions. The governing equation can be written as an Abel differential equation of the second kind, or a second order linear differential equation. Exact solutions are found to these equations in terms of special functions, series and polynomials. The Abel differential equation of the second kind is reducible to a canonical differential equation; three new families of solutions are found by constraining the coefficients of the canonical equation. The charged dust model is shown to be physically well behaved in a region at the centre, and dust spheres can be generated. The higher order curvature terms influence the dynamics of charged dust and the gravitational behaviour which is distinct from general relativity.

我们研究了高阶曲率项对 EGB 重力中带电尘埃分布的静态构型的影响。这种流体的 EGB 场方程是在更高维度中生成的。控制方程可以写为第二类阿贝尔微分方程，或二阶线性微分方程。根据特殊函数、级数和多项式可以找到这些方程的精确解。第二类阿贝尔微分方程可简化为正则微分方程；通过约束正则方程的系数找到了三个新的解族。带电尘埃模型在中心区域表现出良好的物理性能，并且可以生成尘埃球。高阶曲率项影响带电尘埃的动力学和引力行为，这与广义相对论不同。