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- Title
Rough Solutions of Einstein Vacuum Equations in CMCSH Gauge.
- Authors
Wang, Qian
- Abstract
In this paper, we consider very rough solutions to the Cauchy problem for the Einstein vacuum equations in CMC spatial harmonic gauge, and obtain the local well-posedness result in H, s > 2. The novelty of our approach lies in that, without resorting to the standard paradifferential regularization over the rough, Einstein metric g, we manage to implement the commuting vector field approach to prove Strichartz estimate for geometric wave equation $${\square_{\bf g} \phi=0}$$ directly.
- Subjects
NUMERICAL solutions to Einstein field equations; GAUGE field theory; CAUCHY problem; MATHEMATICAL regularization; PARAMETER estimation; WAVE equation; VECTOR fields; HARMONIC analysis (Mathematics)
- Publication
Communications in Mathematical Physics, 2014, Vol 328, Issue 3, p1275
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-014-2015-z