Spacelike matching to null infinity

Details Spacelike matching to null infinity Spacelike matching to null infinity

2009-06-18

arxiv.org/abs/0906.3342v2

Phys.Rev.D80:024044,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 9 figures; matches the published version

Scientific paper

10.1103/PhysRevD.80.024044

We present two methods to include the asymptotic domain of a background spacetime in null directions for numerical solutions of evolution equations so that both the radiation extraction problem and the outer boundary problem are solved. The first method is based on the geometric conformal approach, the second is a coordinate based approach. We apply these methods to the case of a massless scalar wave equation on a Kerr spacetime. Our methods are designed to allow existing codes to reach the radiative zone by including future null infinity in the computational domain with minor modifications. We demonstrate the flexibility of the methods by considering both Boyer-Lindquist and ingoing Kerr coordinates near the black hole. We also confirm numerically predictions concerning tail decay rates for scalar fields at null infinity in Kerr spacetime due to Hod for the first time.

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