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

TL;DR

This paper explores new static black hole solutions in Lovelock gravity with nonconstant transverse curvature, analyzing their conserved charges and geometric constraints, and introducing novel solutions beyond known geometries.

Contribution

It presents new black hole solutions with nonconstant curvature transverse sections and examines conditions for finite charges and action in Lovelock gravity.

Findings

Finiteness of charges depends on geometric constraints

New solutions with nonconstant curvature transverse sections are identified

Constraints on transverse geometry are crucial for physical viability

Abstract

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.