Mass-like invariants for asymptotically hyperbolic metrics

2016/03/25 by Julien Cortier, Cortier, Julien, Mattias Dahl +3
Mathematics · #53C21 (Primary) 83C05 #83C30 (Secondary) #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1603.07952

openalex publication_date 2016/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we classify the set of asymptotic mass-like invariants for asymptotically hyperbolic metrics. It turns out that the standard mass is just one example (but probably the most important one) among the two families of invariants we find. These invariants are attached to finite-dimensional representations of the group of isometries of hyperbolic space. They are then described in terms of wave harmonic polynomials and polynomial solutions to the linearized Einstein equations in Minkowski space.

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