In this work, the analysis of some new static black hole solutions of Lovelock gravity with nonconstant curvature transverse section is presented. It will be shown that the finiteness of the charges and the action principle rely on the existence of constraints on the geometry of the transverse sections. Finally, in this context, some new sound solutions with nonconstant curvature transverse sections that deviate from the previously known geometries are discussed.

中文翻译：

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Lovelock引力中非恒定横向曲率黑洞解及​​其守恒电荷研究

在这项工作中，提出了一些新的具有非等曲率横截面的洛夫洛克引力静态黑洞解的分析。将证明电荷的有限性和作用原理依赖于横截面几何形状的约束的存在。最后，在此背景下，讨论了一些具有非恒定曲率横截面的新声音解决方案，这些解决方案偏离了先前已知的几何形状。