Numerical solution of the general relativistic Boltzmann equation for massive and massless particles. [Neutron star cooling models]
Journal Article
·
· Astrophysical Journal; (United States)
- Texas, University, Austin (TX) Universidad Nacional Autonoma de Mexico, Coyoacan (Mexico)
The ADM formalism of general relativity is applied to write the Einstein and matter equations for a spherically symmetric spacetime whose gravitational sources are taken to be represented by ordinary matter, described by a perfect fluid approximation, and either massless or massive weakly interacting particles, for which a kinetic-theory description is employed. The Boltzmann equation, which is solved directly, is written in a form which is particularly amenable to numerical treatment, and for which massive particles can be accommodated as easily as massless ones. Some of the numerical methods used to solve these equations are described and the results of several code tests are discussed. The behavior of massive and massless particles is compared, and results are presented from a code for the cooling of a crude model of a 'neutron star' by emission of massive particles. 33 refs.
- OSTI ID:
- 5504314
- Journal Information:
- Astrophysical Journal; (United States), Journal Name: Astrophysical Journal; (United States) Vol. 372; ISSN ASJOA; ISSN 0004-637X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
BOSONS
COOLING
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EMISSION SPECTRA
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FLUID MECHANICS
GENERAL RELATIVITY THEORY
GRAVITATION
HYDRODYNAMICS
INTERACTIONS
MASS
MATHEMATICAL MODELS
MECHANICS
NEUTRON STARS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
SPACE-TIME
SPECTRA
STAR MODELS
STARS
Radio & X-Ray Sources
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
BOSONS
COOLING
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EMISSION SPECTRA
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FLUID MECHANICS
GENERAL RELATIVITY THEORY
GRAVITATION
HYDRODYNAMICS
INTERACTIONS
MASS
MATHEMATICAL MODELS
MECHANICS
NEUTRON STARS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
SPACE-TIME
SPECTRA
STAR MODELS
STARS