Time-domain evolution of Lorenz-gauge metric perturbations: taming the $\ell =m=1$ gauge instability

Jonathan Thornburg

Calculating the spacetime metric perturbation (MP) sourced by a small "particle" of mass $\hat{I}¼M$ (with $0<\hat{I}¼\ll 1$) moving in a Schwarzschild or Kerr "background" black hole spacet…