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Cauchy-characteristic matching

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

This paper gives a detailed pedagogic presentation of the central concepts underlying a new algorithm for the numerical solution of Einstein's equations for gravitation. This approach incorporates the best features of the two leading approaches to computational gravitation, carving up spacetime via Cauchy hypersurfaces within a central worldtube, and using characteristic hypersurfaces in its exterior to connect this region with null infinity and study gravitational radiation. It has worked well in simplified test problems, and is currently being used to build computer codes to simulate black hole collisions in 3-D.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Constraining Gravitational Wave Memory with Hierarchical Inference

gr-qc · 2026-05-26 · unverdicted · novelty 5.0

Hierarchical Bayesian inference on GWTC-5.0 constrains the memory enhancement factor to 0.26 with large uncertainties consistent with the GR value of 1 and forecasts that 2000 detections are needed for a 1σ constraint away from zero.

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Showing 1 of 1 citing paper.

  • Constraining Gravitational Wave Memory with Hierarchical Inference gr-qc · 2026-05-26 · unverdicted · none · ref 65 · internal anchor

    Hierarchical Bayesian inference on GWTC-5.0 constrains the memory enhancement factor to 0.26 with large uncertainties consistent with the GR value of 1 and forecasts that 2000 detections are needed for a 1σ constraint away from zero.