The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations
General Relativity and Quantum Cosmology
2018-02-27 v3 Mathematical Physics
Analysis of PDEs
Differential Geometry
math.MP
Abstract
We develop a local theory for the construction of singular spacetimes in all spacetime dimensions which become asymptotically self-similar as the singularity is approached. The techniques developed also allow us to construct and classify exact self-similar solutions which correspond to the formal asymptotic expansions of Fefferman and Graham's ambient metric.
Keywords
Cite
@article{arxiv.1705.09674,
title = {The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations},
author = {Igor Rodnianski and Yakov Shlapentokh-Rothman},
journal= {arXiv preprint arXiv:1705.09674},
year = {2018}
}
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final version