Taub numbers at future null infinity

Taub numbers are studied on asymptotically flat backgrounds with Killing symmetries. When the field equations and the linearized field equations for a metric perturbation are solved, such perturbed space-times admit zeroth-, first-, and second-order Taub numbers. Zeroth-order Taub numbers are Komar constants of the background. For each Killing symmetry of the background, first-order Taub numbers give the contribution of the perturbation to the associated Komar constant, such as the perturbing mass. Second-order Taub numbers give the rate of gravitational radiative loss of the background conserved quantity.