Timeline for Einstein field equations in perspectives from PDE and functional analysis
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 14, 2013 at 7:05 | history | edited | Peter Michor | CC BY-SA 3.0 |
added 108 characters in body
|
| Jul 13, 2013 at 23:07 | comment | added | Deane Yang | Also, the existence, uniqueness, and regularity of a solution to the initial value problem for vacuum space-time and for small time was done much earlier, I believe by Choquet-Bruhat. Christodoulou and Klainerman did indeed prove a spectacular theorem (followed by others) back in the late 80's, that, given appropriate sufficiently small initial data, there exists a unique global solution for all time. | |
| Jul 13, 2013 at 22:56 | comment | added | Deane Yang | To me, Einstein's equation do have a type; they're hyperbolic. You do have to deal with the degeneracy due to the invariance under the group of diffeomorphisms, but once you do that, the system is clearly hyperbolic. This is analogous to how the Yang-Mills equations are now viewed as elliptic PDE's and the Ricci flow is parabolic. | |
| Jul 13, 2013 at 15:36 | history | answered | Peter Michor | CC BY-SA 3.0 |