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Abstract: We present two methods to include the asymptotic domain of a backgroundspacetime in null directions for numerical solutions of evolution equations sothat both the radiation extraction problem and the outer boundary problem aresolved. The first method is based on the geometric conformal approach, thesecond is a coordinate based approach. We apply these methods to the case of amassless scalar wave equation on a Kerr spacetime. Our methods are designed toallow existing codes to reach the radiative zone by including future nullinfinity in the computational domain with minor modifications. We demonstratethe flexibility of the methods by considering both Boyer-Lindquist and ingoingKerr coordinates near the black hole. We also confirm numerically predictionsconcerning tail decay rates for scalar fields at null infinity in Kerrspacetime due to Hod for the first time.



Author: Anil Zenginoglu, Manuel Tiglio

Source: https://arxiv.org/



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