Negative mass black holes in de Sitter space

We show that asymptotically de Sitter black holes of negative mass can exist in Lovelock gravity. Such have horizon geometries with non-constant curvature and are known as Exotic Black Holes. explicitly examine the case Gauss-Bonnet briefly discuss positive where we how transverse space geometry affects whether a hole will or not.For solutions shown three different spacetimes possible depending on geometry. also provide closed form expressions for geometric parameters to ensure spacetime is observed. close discussion massless case, there many permitted.