Abstrakt
We propose a definition of asymptotic flatness at timelike infinity in four spacetime dimensions. We present a detailed study of the asymptotic equations of motion and the action of supertranslations on asymptotic fields.
We show that the Lee-Wald symplectic form Omega(g, delta(1)g, delta(2)g) does not get contributions from future timelike infinity with our boundary conditions. As a result, the "future charges" can be computed on any two-dimensional surface surrounding the sources at timelike infinity.
We present expressions for supertranslation and Lorentz charges.