On complete stationary vacuum initial data
General Relativity and Quantum Cosmology
2014-02-05 v1 Differential Geometry
Abstract
We describe a proof of M.T. Anderson's result on the rigidity of complete stationary initial data for the Einstein vacuum equations in spacetime dimension 3 + 1, under an extra assumption on the norm of the stationary Killing vector field. The argument only involves basic comparison geometry along with some Bochner-Weitzenb\"ock formula techniques. We also discuss on the possibility to extend those techniques in higher dimensions.
Keywords
Cite
@article{arxiv.1402.0690,
title = {On complete stationary vacuum initial data},
author = {Julien Cortier and Vincent Minerbe},
journal= {arXiv preprint arXiv:1402.0690},
year = {2014}
}
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11 pages