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Abstract:
We consider curvature invariants in the context of black hole collision simulations. In particular, we propose a simple and elegant combination of the Weyl invariants I and J, the speciality index [script S]. In the context of black hole perturbations [script S] provides a measure of the size of the distortions from an ideal Kerr black hole spacetime. Explicit calculations in well-known examples of axisymmetric black hole collisions demonstrate that this quantity may serve as a useful tool for predicting in which cases the close limit can provide an accurate estimate of the radiation wave form and energy. This makes [script S] particularly suited to studying the transition from nonlinear to linear dynamics and for an invariant interpretation of numerical results.
