The affine-null metric formulation of Einstein's equations
J. Winicour
TL;DR
This paper introduces a new affine-null metric formulation for Einstein's equations, offering an alternative to the Bondi-Sachs approach, with potential advantages for gravitational waveform extraction from simulations.
Contribution
The paper develops a novel affine-null metric formulation of Einstein's equations, enhancing characteristic evolution methods for gravitational wave extraction.
Findings
New evolution algorithm based on affine parameter
Improved application to gravitational waveform extraction
Advantages over traditional Bondi-Sachs formulation
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.