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

Journal Article · Tue Aug 01 00:00:00 EDT 1989 · Astrophysical Journal; (USA)

DOI:https://doi.org/10.1086/167756· OSTI ID:5338049

Mezzacappa, A; Matzner, R A ^[1]

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1. Texas Univ., Austin (USA)

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.

• OSTI ID: 5338049
• Journal Information: Astrophysical Journal; (USA), Vol. 343; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

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