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Hyperboloidal evolution of test fields in three spatial dimensions

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arxiv 1004.0760 v1 pith:5FWGD5KA submitted 2010-04-06 gr-qc

Anil Zenginoglu , Lawrence E. Kidder This is my paper · ORCID
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keywords hyperboloidalapproachequationsimplementationinfinitynullnumericaladdress
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    Derives a provably stable 3D SBP scheme for linear waves on hyperboloidal slices using compactification, rescaling, and abstract dissipation in spherical polar coordinates.

  2. Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Homothetic hyperboloidal coordinates give semilinear wave tails the same exponential decay rate at every compactified radius, removing the late-time resolution bottleneck.

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