Sobolev spaces for multi-black hole initial data
General Relativity and Quantum Cosmology
2019-06-07 v1 Mathematical Physics
math.MP
Abstract
In this article we introduce weighted Sobolev spaces that are well suited to treat initial data for multiple black hole systems. We prove general results for elliptic operators on these spaces and give a simple proof of existence of a class of initial data describing many extremal black holes.
Keywords
Cite
@article{arxiv.1906.02346,
title = {Sobolev spaces for multi-black hole initial data},
author = {María E. Gabach-Clément and Andrés Aceña},
journal= {arXiv preprint arXiv:1906.02346},
year = {2019}
}
Comments
13 pages, no figures