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

A study about black hole solutions with nonconstant transversal curvature and its conserved charges in Lovelock gravity