| In The Global Nonlinear Stability of the Minkowski Space, Christodoulou and Klainerman show that given asymptotically flat initial data which satisfy a smallness condition, there exist global nontrivial solutions to the Einstein-Vacuum equations. In my thesis, I generalize this result to show the global nonlinear stability of the trivial solution to the Einstein-Maxwell equations. In particular instead of solving the Einstein field equations Gμν = 8πT μν with the energy momentum tensor Tμν equal to zero, I allow Tμν to equal the stress-energy tensor of the electro-magnetic field F such that F satisfies the Maxwell equations. |
