5 papers
Minimal surfaces and CPE metric
Benedito Leandro
The critical points of the total scalar curvature functional, restricted to closed -dimensional manifolds with constant scalar curvature metrics and unit volume, are termed CPE…
Solution for the Einstein-Maxwell equations invariant under an -dimensional group of dilations
Benedito Leandro, Ilton Menezes, Rafael Novais
We consider an electrostatic system whose spatial factor is conformal to an -dimensional Euclidean space. We provide a complete characterization of the most general ansatz, ther…
Geometric inequalities for electrostatic systems with boundary
Allan Freitas, Benedito Leandro, Ernani Ribeiro +1
In this article, we investigate electrostatic systems with a nonzero cosmological constant on compact manifolds with boundary. We establish new geometric properties for electrostat…
Sharp lower bound for the charged Hawking mass in the electrostatic space
Benedito Leandro, Guilherme Sabo
We prove sharp lower bounds for the charged Hawking mass of stable surfaces in electrostatic space-times in various contexts. An upper bound for the genus of stable surfaces in the…
Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in dimensions à la Robinson
Carla Cederbaum, Albachiara Cogo, Benedito Leandro +1
In this paper, we combine and generalize to higher dimensions the approaches to proving the uniqueness of connected (3+1)-dimensional static vacuum asymptotically flat black hole s…