The equivalence of isocapacitary notions of mass

2025/11/14 by Benatti, Luca
#38C35 #49J45 #53C21 #53E10 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2511.11155

Abstract

In this short note, we will prove the equivalence of the isocapacitary notions of mass. This family also includes G. Huisken's isoperimetric mass and J. L. Jauregui's isocapacitary mass.

Citations

• Proper solutions of the 1/H-flow and the Green kernel of the p-Laplacian
• Fine properties of nonlinear potentials and a unified perspective on monotonicity formulas
• A note on Huisken's isoperimetric mass
• On the Isoperimetric Riemannian Penrose Inequality
• ADM mass and the capacity-volume deficit at infinity
• Boundary conditions at spatial infinity from a Hamiltonian point of view
• The mass of an asymptotically flat manifold

Related

• A note on Huisken's isoperimetric mass
• ADM mass and the capacity-volume deficit at infinity
• What is mass in desitterian physics?
• Concepts of inertial, gravitational and elementary particle masses
• The positive mass theorem in Kaluza-Klein picture