Hyperboloidal evolution of test fields in three spatial dimensions

Details Hyperboloidal evolution of test fields in three spatial dimensions Hyperboloidal evolution of test fields in three spatial dimensions

2010-04-06

arxiv.org/abs/1004.0760v1

Phys. Rev. D 81, 124010 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 8 figures

Scientific paper

10.1103/PhysRevD.81.124010

We present the numerical implementation of a clean solution to the outer boundary and radiation extraction problems within the 3+1 formalism for hyperbolic partial differential equations on a given background. Our approach is based on compactification at null infinity in hyperboloidal scri fixing coordinates. We report numerical tests for the particular example of a scalar wave equation on Minkowski and Schwarzschild backgrounds. We address issues related to the implementation of the hyperboloidal approach for the Einstein equations, such as nonlinear source functions, matching, and evaluation of formally singular terms at null infinity.

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