Numerical treatment of the spherically symmetric general-relativistic Boltzmann equation for massless and massive particles

Journal Article · Mon Jun 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.4458· OSTI ID:7184621

Harleston, H ^[1]; Vishniac, E T ^[2]

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1. Department of Physics, University of Texas at Austin, Austin, Texas 78712 (United States) Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Distrito Federal (Mexico)
2. Department of Astronomy, University of Texas at Austin, Austin, Texas 78712 (United States)

The Arnowitt-Deser-Misner formalism is used to write the Einstein-Boltzmann coupled system of equations. The sources of gravitational field are represented by ordinary matter described by a perfect-fluid approximation together with a particle gas described by a phase-space distribution function obeying the general-relativistic Boltzmann transport equation. Through the use of the Liouville operator in phase space, we obtain a form of the Boltzmann equation that makes it very amenable for numerical treatment. The resulting system of equations can be used for the numerical study of either massless or massive particles interacting with ordinary matter.

• OSTI ID: 7184621
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:12; ISSN 0556-2821; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

661310* -- Relativity & Gravitation-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
LEPTONS
MASS
MASSLESS PARTICLES
MATHEMATICAL SPACE
NEUTRINOS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
SPACE
SYMMETRY