33 citations · 96 across the 16 of their papers we have counts for
8 papers · 1 filter
Mass-type invariants in the presence of a cosmological constant
Virginia Agostiniani, Stefano Borghini, Lorenzo Mazzieri
In this paper, we introduce a new family of mass-type invariants for time-symmetric initial data in space-times satisfying the Dominant Energy Condition. For positive cosmological…
Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality
Stefano Borghini, Mattia Fogagnolo
Substatic Riemannian manifolds with minimal boundary arise naturally in General Relativity as spatial slices of static spacetimes satisfying the Null Energy Condition. Moreover, th…
The equality case in the substatic Heintze-Karcher inequality
Stefano Borghini, Mattia Fogagnolo, Andrea Pinamonti
We provide a rigidity statement for the equality case for the Heintze-Karcher inequality in substatic manifolds. We apply such result in the warped product setting to fully remove…
Counterexamples to a divergence lower bound for the covariant derivative of skew-symmetric 2-tensor fields
Stefano Borghini, Lorenzo Mazzieri
In arXiv:2103.15482 an estimate for suitable skew-symmetric 2-tensors was claimed. Soon after, this estimate has been exploited to claim powerful classification results: most notab…
Static Black Hole Uniqueness for nonpositive masses
Stefano Borghini
In arXiv:1310.3002, Lee and Neves proved a Penrose inequality for spacetimes with negative cosmological constant and nonpositive mass aspect. As an application, they were able to o…
On the uniqueness of Schwarzschild-de Sitter spacetime
Stefano Borghini, Piotr T. Chruściel, Lorenzo Mazzieri
We establish a new uniqueness theorem for the three dimensional Schwarzschild-de Sitter metrics. For this some new or improved tools are developed. These include a reverse Lojasiew…
Some Sphere Theorems in Linear Potential Theory
Stefano Borghini, Giovanni Mascellani, Lorenzo Mazzieri
In this paper we analyze the capacitary potential due to a charged body in order to deduce sharp analytic and geometric inequalities, whose equality cases are saturated by domains…
Monotonicity formulas for static metrics with non-zero cosmological constant
Stefano Borghini, Lorenzo Mazzieri
In this paper we study non-singular vacuum static space-times with non-zero cosmological constant. We introduce new integral quantities, and under suitable assumptions we prove the…