The off-shell recursion for gravity and the classical double copy for currents

A bstract We construct the off-shell recursion for gravity and graviton current perturbative double field theory (DFT). first formulate DFT, which is equivalent but simpler to general relativity, all-orders in fluctuations of generalised metric. The action equations motion (EoM) are derived arbitrary order pure case. then derive recursion, counterpart Berends-Giele Yang-Mills theory, through so-called perturbiner method using EoM DFT. solve iteratively obtain currents explicitly. discuss classical copy currents. present KLT relation by extending result proposed Mizera Skrzypek non-gravitational effective theories. represents squaring gluon with kernel up gauge transformation regular terms that do not have any pole. Finally we conservation nonlinear choices.