Non-linear perturbations of Schwarzschild with the conformal field equations

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Written by Chris Stevens

The aim of this talk is to introduce an initial boundary value problem (IBVP) for the generalised conformal field equations (GCFEs), and as an application study gravitational perturbations of a black hole space-time. 

The main ideas of the GCFEs will be summarised and issues associated with forming a well posed (at least numerically) IBVP will be discussed. A framework for the IBVP will be presented and numerical evidence of its success will be given. As an application I will discuss a gravitational wave impinging on a Schwarzschild black hole. In particular, I will discuss how the IBVP is formulated for this situation and how to calculate global properties directly at future null infinity.