Fourth Post-Minkowskian Local-in-Time Conservative Dynamics of Binary
Systems
Fourth Post-Minkowskian Local-in-Time Conservative Dynamics of Binary
Systems
We compute the purely local-in-time (scale-free and logarithm-free) part of the conservative dynamics of gravitationally interacting two-body systems at the fourth post-Minkowskian order, and at the thirtiest order in velocity. The gauge-invariant content of this fourth post-Minkowskian local dynamics is given in two ways: (i) its contribution to the on-shell …