Virginia Agostiniani, Carlo Mantegazza, Lorenzo Mazzieri, Francesca Oronzio
Published 2022-05-23Version 1
We provide a new proof of the Riemannian Penrose inequality by means of a monotonicity formula holding along the level sets of the $p$-capacitary potential of the horizon boundary, in any asymptotically flat $3$-manifold with nonnegative scalar curvature.
A Green's function proof of the Positive Mass Theorem
Riemannian Penrose inequality without horizon in dimension three
The asymptotic behaviour of $p$-capacitary potentials in Asymptotically Conical manifolds
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