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The affine-null metric formulation of Einstein's equations

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arxiv 1303.6969 v2 pith:GRW2SDRS submitted 2013-03-27 gr-qc

J. Winicour This is my paper · ORCID
classification gr-qc
keywords bondi-sachscharacteristicformulationadvantagesaffineaffine-nullalgorithmapplication
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The details are presented of a new evolution algorithm for the characteristic initial-boundary value problem based upon an affine parameter rather than the areal radial coordinate used in the Bondi-Sachs formulation. The advantages over the Bondi-Sachs version are discussed, with particular emphasis on the application to the characteristic extraction of the gravitational waveform from Cauchy simulations of general relativistic astrophysical systems.

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  1. 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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