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.
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- Resource Type:
- Journal Article
- Resource Relation:
- Journal Name: Astrophysical Journal; (USA); Journal Volume: 343
- Country of Publication:
- United States
- 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
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