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Title Computer simulation of time-dependent, spherically symmetric spacetimes containing radiating fluids - formalism and code tests
Creator/Author Mezzacappa, A. ; Matzner, R.A. (Texas Univ., Austin (USA))
Publication Date1989 Aug 01
OSTI IdentifierOSTI ID: 5338049
Other Number(s)Journal ID: ISSN 0004-637X; CODEN: ASJOA
Resource TypeJournal Article
Resource RelationJournal Name: Astrophysical Journal; (USA); Journal Volume: 343
Subject71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SPACE-TIME; COMPUTERIZED SIMULATION; BOLTZMANN EQUATION; EINSTEIN FIELD EQUATIONS; GENERAL RELATIVITY THEORY; GRAVITATIONAL COLLAPSE; HYDRODYNAMICS; NEUTRINOS; NUMERICAL ANALYSIS; TIME DEPENDENCE; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FIELD EQUATIONS; FIELD THEORIES; FLUID MECHANICS; LEPTONS; MASSLESS PARTICLES; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SIMULATION
Description/AbstractThe 3 + 1 Einstein equations (including a radiation component in the stress-energy tensor), the 3 + 1 equations for general relativistic hydrodynamics (including the radiation four-force density), and the 3 + 1 general relativistic Boltzmann equation, are all derived for time-dependent, spherically symmetric spacetimes. These equations are then specialized to maximally sliced spacetimes in the isotropic gauge. The implicit finite differencing of the Boltzmann equation and of the radiation contribution to the hydrodynamics equations is described, and a new implicit numerical scheme for the coupled collision term in the Boltzmann equation and the radiation four-force density in the hydrodynamics equations is presented. The results of a code test for this radiation code are given. 23 refs.
Country of PublicationUnited States
LanguageEnglish
FormatMedium: X; Size: Pages: 853-873
System Entry Date2008 Feb 06

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