We study the bound on the compactness of a stellar object in pure Lovelock theories of arbitrary order in arbitrary spacetime dimensions, involving electromagnetic field. The bound we derive for a generic pure Lovelock theory, reproduces the known results in four dimensional Einstein gravity. Both the case of a charged shell and that of a charge sphere demonstrates that for a given spacetime dimension, stars in general relativity are more compact than the stars in pure Lovelock theories. In addition, as the strength of the Maxwell field increases, the stellar structures become more compact, i.e., the radius of the star decreases. In the context of four dimensional Einstein–Gauss–Bonnet gravity as well, an increase in the strength of the Gauss–Bonnet coupling (behaving as an effective electric charge), increases the compactness of the star. Implications are discussed.

我们在涉及电磁场的任意时空维度中，以任意阶的纯Lovelock理论研究恒星物体紧致性的界线。我们为一般的纯洛夫洛克理论推导出的界限，再现了四维爱因斯坦引力的已知结果。带电壳的情况和带电球的情况都表明，对于给定的时空维度，相对论的恒星比纯洛夫洛克理论中的恒星更紧凑。另外，随着麦克斯韦场强度的增加，恒星结构变得更加紧凑，即恒星的半径减小。在四维爱因斯坦-高斯-贝内特引力的背景下，高斯-贝内特耦合的强度增加（表现为有效电荷）也增加了恒星的紧密度。