Conservation laws and flux bounds for gravitational perturbations of the Schwarzschild metric
Conservation laws and flux bounds for gravitational perturbations of the Schwarzschild metric
We derive an energy conservation law for the system of gravitational perturbations on the Schwarzschild spacetime expressed in a double null gauge. The resulting identity involves only first derivatives of the metric perturbation. Exploiting the gauge invariance up to boundary terms of the fluxes that appear, we are able to …