Incorporation of matter into characteristic numerical relativity

1999/01/20 by N. T. Bishop, Nigel T. Bishop, Roberto Gómez +7 · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.60.024005

published as Phys.Rev.D60:024005,1999 · 15 pages + 4 (eps) figures

arxiv created 1999/01/20 · openalex publication_date 1999/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A code that implements Einstein's equations in the characteristic formulation in 3D has been developed and thoroughly tested for the vacuum case. Here, we describe how to incorporate matter, in the form of a perfect fluid, into the code. The extended code has been written and validated in a number of cases where shocks do not form. It is stable and capable of contributing towards an understanding of a number of problems in black hole astrophysics.

Citations

• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time

Cited by

• Characteristic extraction in numerical relativity: binary black hole merger waveforms at null infinity
• Numerical Hydrodynamics in General Relativity