Mass-like invariants for asymptotically hyperbolic metrics
Differential Geometry
2018-06-25 v2 General Relativity and Quantum Cosmology
Representation Theory
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.
Cite
@article{arxiv.1603.07952,
title = {Mass-like invariants for asymptotically hyperbolic metrics},
author = {Julien Cortier and Mattias Dahl and Romain Gicquaud},
journal= {arXiv preprint arXiv:1603.07952},
year = {2018}
}
Comments
98 pages