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Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations

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arxiv gr-qc/9712052 v1 pith:BLHZ643Q submitted 1997-12-11 gr-qc

J. Frauendiener This is my paper · ORCID
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keywords equationsnumericalconformaldiscusseinsteinevolutionfieldparticular
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This is the second in a series of articles on the numerical solution of Friedrich's conformal field equations for Einstein's theory of gravity. We will discuss in this paper the numerical methods used to solve the system of evolution equations obtained from the conformal field equations. In particular we discuss in detail the choice of gauge source functions and the treatment of the boundaries. Of particular importance is the process of ``radiation extraction'' which can be performed in a straightforward way in the present formalism.

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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. Conformal compactification and affine-null metric formulation of the Einstein equations

    gr-qc 2025-04 conditional novelty 6.0 of 10

    A hierarchical, boundary-regular affine-null form of the conformal Einstein-scalar equations is derived, shown equivalent to compactified physical-space equations, and used to extract the news function at null infinity.

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