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Title: Computer simulation of time-dependent, spherically symmetric spacetimes containing radiating fluids - formalism and code tests

Computer simulation of time-dependent, spherically symmetric spacetimes containing radiating fluids - formalism and code tests The 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.
Authors: ;
Publication Date:
OSTI Identifier:OSTI ID: 5338049
Resource Type:Journal Article
Resource Relation:Journal Name: Astrophysical Journal; (USA); Journal Volume: 343
Country of Publication:United States
Language:English
Subject: 71 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 640106* -- Astrophysics & Cosmology-- Cosmology