New Search

Export article

Other versions available

A symmetric hyperbolic formulation of the vacuum Einstein equations in affine-null coordinates

Journal of Mathematical Physics , Volume 62; doi:10.1063/5.0055561

Abstract: We present a symmetric hyperbolic formulation of the Einstein equations in affine-null coordinates. Giannakopoulos et al. [Phys. Rev. D 102, 064035 (2020)] recently showed that the most commonly numerically implemented formulations of the Einstein equations in affine-null coordinates (and other single-null coordinate systems) are only weakly—not strongly—hyperbolic. By making use of the tetrad-based Newman–Penrose formalism, our formulation avoids the hyperbolicity problems of the formulations investigated by Giannakopoulos et al. [Phys. Rev. D 102, 064035 (2020)]. We discuss a potential application of our formulation for studying gravitational wave scattering.
Keywords: hyperbolic / symmetric / Einstein equations / affine / coordinates / null / weakly / vacuum
Other Versions

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

Share this article

Click here to see the statistics on "Journal of Mathematical Physics" .
References (18)
    Back to Top Top