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Title: Post-quasistatic approximation as a test bed for numerical relativity

Abstract

It is shown that observers in the standard ADM 3+1 treatment of matter are the same as the observers used in the matter treatment of Bondi: they are comoving and local Minkowskian. Bondi's observers are the basis of the post-quasistatic approximation (PQSA) to study a contracting distribution of matter. This correspondence suggests the possibility of using the PQSA as a test bed for numerical relativity. The treatment of matter by the PQSA and its connection with the ADM 3+1 treatment are presented, for its practical use as a calibration tool and as a test bed for numerical relativistic hydrodynamic codes.

Authors:
 [1]
  1. Centro de Fisica Fundamental, Facultad de Ciencias, Universidad de Los Andes, Merida (Venezuela, Bolivarian Republic of)
Publication Date:
OSTI Identifier:
21296400
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.79.107502; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; CALIBRATION; COMPUTERIZED SIMULATION; DISTRIBUTION; HYDRODYNAMIC MODEL; MATTER; MINKOWSKI SPACE; RELATIVISTIC RANGE

Citation Formats

Barreto, W. Post-quasistatic approximation as a test bed for numerical relativity. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.107502.
Barreto, W. Post-quasistatic approximation as a test bed for numerical relativity. United States. https://doi.org/10.1103/PHYSREVD.79.107502
Barreto, W. 2009. "Post-quasistatic approximation as a test bed for numerical relativity". United States. https://doi.org/10.1103/PHYSREVD.79.107502.
@article{osti_21296400,
title = {Post-quasistatic approximation as a test bed for numerical relativity},
author = {Barreto, W},
abstractNote = {It is shown that observers in the standard ADM 3+1 treatment of matter are the same as the observers used in the matter treatment of Bondi: they are comoving and local Minkowskian. Bondi's observers are the basis of the post-quasistatic approximation (PQSA) to study a contracting distribution of matter. This correspondence suggests the possibility of using the PQSA as a test bed for numerical relativity. The treatment of matter by the PQSA and its connection with the ADM 3+1 treatment are presented, for its practical use as a calibration tool and as a test bed for numerical relativistic hydrodynamic codes.},
doi = {10.1103/PHYSREVD.79.107502},
url = {https://www.osti.gov/biblio/21296400}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 79,
place = {United States},
year = {Fri May 15 00:00:00 EDT 2009},
month = {Fri May 15 00:00:00 EDT 2009}
}