PPT Slide
(M,g) R?? = 0
sc = n/2
Subcritical n < 2
Critical n = 2
Supercritical n > 2
Einstein Vacuum Equations
NONLINEAR RELATIVISTIC FIELD THEORIES
Known facts:
- Local Existence( WP for s > sc + 1)
- Small data global regularity( Stability of Minkowski)
- There exist stable singular solutions for n = 3.
- Various results in the case of additional symmetries:
Two space-like Killing vector fields (n = 1).
Spherically symmetric case.