Affine-null metric formulation of Einstein’s equations

Affine-null metric formulation of Einstein’s equations

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...

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Veröffentlicht in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2013-06, Vol.87 (12), Article 124027
1. Verfasser: Winicour, J.
Format: Artikel
Sprache:eng
Schlagworte:
Bonding
Boundary value problems
Cosmology
Formulations
Gravitation
Initial value problems
Mathematical analysis
Waveforms
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Zusammenfassung: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.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.87.124027