The non-linear perturbation of a black hole by gravitational waves. III. Newman–Penrose constants
J Frauendiener,
A Goodenbour,
C Stevens
Abstract:In this paper we continue our study of the non-linear response of a Schwarzschild black hole to an ingoing gravitational wave by computing the Newman-Penrose (NP) constants. The NP constants are five complex, supertranslation-invariant quantities defined on null infinity $\mathscr{I}^+$ and although put forward in the 60's, they have never been computed in a non-stationary setting. We accomplish this through a numerical implementation of Friedrich's generalized conformal field equations whose semi-global evolu… Show more
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