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The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations
classification
🌀 gr-qc
math-phmath.APmath.DGmath.MP
keywords
self-similarasymptoticallyallowambientapproachedasymptoticbecomeclassify
read the original 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.
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