Sobolev spaces for multi-black hole initial data

María E. Gabach-Clément; Andrés Aceña

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arXiv · 1906.02346

Sobolev spaces for multi-black hole initial data

María E. Gabach-Clément·Andrés Aceña

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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.

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María E. Gabach-Clément, Andrés Aceña. 2019-06-05. Sobolev spaces for multi-black hole initial data. https://arxiv.org/abs/1906.02346

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