Conservative formulations of general relativistic kinetic theory

Abstract

Experience with core-collapse supernova simulations shows that accurate accounting of total particle number and 4-momentum can be a challenge for computational radiative transfer. This accurate accounting would be facilitated by the use of particle number and 4-momentum transport equations that allow transparent conversion between volume and surface integrals in both configuration and momentum space. Such conservative formulations of general relativistic kinetic theory in multiple spatial dimensions are presented in this paper, and their relevance to core-collapse supernova simulations is described.

arXiv comment48 pages

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• Supernova Simulations with Boltzmann Neutrino Transport: A Comparison of Methods
• Neutrino Transfer in Three Dimensions for Core-Collapse Supernovae. I. Static Configurations
• A New Spherical Harmonics Scheme for Multi-Dimensional Radiation Transport I: Static Matter Configurations
• On the Requirements for Realistic Modeling of Neutrino Transport in Simulations of Core-Collapse Supernovae
• Conservative 3+1 General Relativistic Variable Eddington Tensor Radiation Transport Equations
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• A New Algorithm for 2-D Transport for Astrophysical Simulations: I. General Formulation and Tests for the 1-D Spherical Case
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