The analysis of the continual gravitational contraction of a spherically symmetric shell of charged radiation is extended to higher dimensions in Einstein–Gauss–Bonnet gravity. The spacetime metric, which is of Boulware–Deser type, is real only up to a maximum electric charge and thus collapse terminates with the formation of a branch singularity. This branch singularity divides the higher dimensional spacetime into two regions, a real and physical one, and a complex region. This is not the case in neutral Einstein–Gauss–Bonnet gravity as well as general relativity. The charged gravitational collapse process is also similar for all dimensions \(N\ge 5\) unlike in the neutral scenario where there is a marked difference between the \(N=5\) and \(N>5\) cases. In the case where \(N=5\) uncharged collapse ceases with the formation of a weaker, conical singularity which remains naked for a time depending on the Gauss–Bonnet invariant, before succumbing to an event horizon. The similarity of charged collapse for all higher dimensions is a unique feature in the theory. The sufficient conditions for the formation of a naked singularity are studied for the higher dimensional charged Boulware–Deser spacetime. For particular choices of the mass and charge functions, naked branch singularities are guaranteed and indeed inevitable in higher dimensional Einstein–Gauss–Bonnet gravity. The strength of the naked branch singularities is also tested and it is found that these singularities become stronger with increasing dimension, and no extension of spacetime through them is possible.

对带电辐射球对称壳的连续引力收缩的分析在爱因斯坦-高斯-邦内引力中扩展到了更高的维度。 Boulware-Deser 类型的时空度量仅在达到最大电荷时才是真实的，因此坍缩随着分支奇点的形成而终止。这个分支奇点将高维时空分为两个区域，一个是真实的物理区域，另一个是复杂的区域。在中性爱因斯坦-高斯-邦尼引力和广义相对论中，情况并非如此。带电引力塌缩过程对于所有维度\(N\ge 5\)也相似，与中性场景不同，在中性场景中， \(N=5\)和\(N>5\)情况之间存在显着差异。在\(N=5\)不带电塌缩停止的情况下，形成一个较弱的圆锥形奇点，在屈服于事件视界之前，该奇点根据高斯-邦内不变量保持裸露一段时间。所有更高维度的带电塌陷的相似性是该理论的一个独特特征。研究了高维带电布尔韦尔-德瑟时空形成裸奇点的充分条件。对于质量和电荷函数的特定选择，在高维爱因斯坦-高斯-邦尼引力中，裸枝奇点是保证的，而且实际上是不可避免的。还测试了裸枝奇点的强度，发现这些奇点随着维度的增加而变得更强，并且通过它们扩展时空是不可能的。