Multidimensional Boltzmann Neutrino Transport Code in Full General Relativity for Core-collapse Simulations

Abstract

We develop a neutrino transfer code for core-collapse simulations, that directly solves the multidimensional Boltzmann equations in full general relativity. We employ the discrete ordinate method, which discretizes the six dimensional phase space. The code is an extension of our special relativistic code coupled to a Newtonian hydrodynamics code, which is currently employed for core-collapse supernova simulations. In order to demonstrate our code's capability to treat general relativistic effects, we conduct some tests: we first compute the free streaming of neutrinos in the Schwarzschild and Kerr spacetimes and compare the results with the geodesic curves; in the Schwarzschild case we deploy not only a 1-dimensional grid in space under spherical symmetry but also a 2-dimensional spatial mesh under axisymmetry in order to assess the capability of the code to compute the spatial advection of neutrinos; secondly, we calculate the neutrino transport in a fixed matter background, which is taken from a core-collapse supernova simulation with our general relativistic but spherically symmetric Boltzmann-hydrodynamics code, to obtain a steady neutrino distribution; the results are compared with those given by the latter code.

arXiv comment23 pages, 19 figures, accepted version

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• Nuclei in Core-Collapse Supernovae Engine
• Gray Two-moment Neutrino Transport: Comprehensive Tests and Improvements for Supernova Simulations
• Leptonic and semi-leptonic neutrino interactions with muons in the proto-neutron star cooling
• Detectability of Late-time Supernova Neutrinos with Fallback Accretion onto Protoneutron star
• Comparative Testing of Subgrid Models for Fast Neutrino Flavor Conversions in Core-collapse Supernova Simulations
• Diagnosing electron-neutrino lepton number crossings in core-collapse supernovae: A comparison of methods
• 3D Photon Conserving Code for Time-dependent General Relativistic Radiative Transfer : CARTOON
• Electron-neutrino lepton number crossings: Variations with the supernova core physics
• A Relativistic Formula for the Multiple Scattering of Photons
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