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We present a new general relativistic (GR) code for hydrodynamic supernova simulations with neutrino transport in spherical and azimuthal symmetry (1D/2D). The code is a combination of the CoCoNuT hydro module, which is a Riemann-solver…

Solar and Stellar Astrophysics · Physics 2015-05-18 B. Mueller , H. -Th. Janka , H. Dimmelmeier

Neutrino transport and neutrino-matter interactions are known to play an important role in the evolution of neutron star mergers, and of their post-merger remnants. Neutrinos cool remnants, drive post-merger winds, and deposit energy in the…

High Energy Astrophysical Phenomena · Physics 2021-11-18 Francois Foucart , Matthew D. Duez , Francois Hebert , Lawrence E. Kidder , Phillip Kovarik , Harald P. Pfeiffer , Mark A. Scheel

In this paper, we consider the apparent superluminal speed of neutrinos in their travel from CERN to Gran Susso, as measured by the OPERA experiment, within the framework of the Extended Lorentz Transformation Model. The model is based on a…

General Physics · Physics 2012-02-28 S. Hamieh

We present a newly developed moving-mesh technique for the multi-dimensional Boltzmann-Hydro code for the simulation of core-collapse supernovae (CCSNe). What makes this technique different from others is the fact that it treats not only…

High Energy Astrophysical Phenomena · Physics 2017-05-03 Hiroki Nagakura , Wakana Iwakami , Shun Furusawa , Kohsuke Sumiyoshi , Shoichi Yamada , Hideo Matsufuru , Akira Imakura

Many astrophysical phenomena exhibit relativistic radiative flows. While velocities in excess of $v \sim 0.1c$ can occur in these systems, it has been common practice to approximate radiative transfer to $\cO(v/c)$. In the case of neutrino…

Astrophysics · Physics 2007-05-23 Christian Y. Cardall , Eric J. Lentz , Anthony Mezzacappa

We describe in detail the implementation of a simplified approach to radiative transfer in general relativity by means of the well-known neutrino leakage scheme (NLS). In particular, we carry out an extensive investigation of the properties…

General Relativity and Quantum Cosmology · Physics 2013-10-03 Filippo Galeazzi , Wolfgang Kastaun , Luciano Rezzolla , José A. Font

We give applications of known and new Liouville type theorems to universal singularity and decay estimates for non scale invariant elliptic problems, including Lane-Emden and Schr\"odinger type systems. This applies to various classes of…

Analysis of PDEs · Mathematics 2025-04-30 Pavol Quittner , Philippe Souplet

Neutrino production, absorption, transport, and flavor evolution in astrophysical environments is described by a kinetic equation $D\varrho=-i[{\sf H},\varrho]+{\cal C}[\varrho]$. Its basic elements are generalized occupation numbers…

High Energy Physics - Phenomenology · Physics 2018-05-09 Tobias Stirner , Günter Sigl , Georg Raffelt

We discuss a new kind of astrophysical transport problem: the coherent evolution of neutrino flavor in core collapse supernovae. Solution of this problem requires a numerical approach which can simulate accurately the quantum mechanical…

Astrophysics · Physics 2009-06-09 Huaiyu Duan , George M. Fuller , J. Carlson

Neutrinos dominate the energetics of core-collapse supernovae, and are believed to play an important role in driving the explosion. The development of a spatially multidimensional neutrino radiative transfer code is a key part of the…

Astrophysics · Physics 2007-05-23 Christian Y. Cardall

In the standard approaches to neutrino transport in the simulation of core-collapse supernovae, one will often start from the classical Boltzmann equation for the neutrino's spatial, temporal, and spectral evolution. For each neutrino…

High Energy Physics - Phenomenology · Physics 2009-04-02 P. Strack , A. Burrows

The Neutron Transport Equation (NTE) describes the flux of neutrons through an inhomogeneous fissile medium. In this paper, we reconnect the NTE to the physical model of the spatial Markov branching process which describes the process of…

Probability · Mathematics 2020-03-18 Emma Horton , Andreas E. Kyprianou , Denis Villemonais

We report on the stellar core collapse, bounce, and postbounce evolution of a 13 solar mass star in a self-consistent general relativistic spherically symmetric simulation based on Boltzmann neutrino transport. We conclude that…

We consider several aspects related to the form, derivation and applications of the Liouville equation (LE) for flavour evolution of neutrinos. To take into account the quantum nature of neutrinos we derive the evolution equation for the…

High Energy Physics - Phenomenology · Physics 2016-12-21 Rasmus Sloth Lundkvist Hansen , Alexei Yu. Smirnov

We derive conservative, multidimensional, energy-dependent moment equations for neutrino transport in core-collapse supernovae and related astrophysical systems, with particular attention to the consistency of conservative four-momentum and…

Solar and Stellar Astrophysics · Physics 2012-12-18 Eirik Endeve , Christian Y. Cardall , Anthony Mezzacappa

The unique ghost-free mass and nonlinear potential terms for general relativity are presented in a diffeomorphism and local Lorentz invariant vierbein formalism. This construction requires an additional two-index Stuckelberg field, beyond…

High Energy Physics - Theory · Physics 2013-10-30 Gregory Gabadadze , Kurt Hinterbichler , David Pirtskhalava , Yanwen Shang

The classical notion of a single-particle scalar distribution function or phase space density can be generalized to a matrix in order to accommodate superpositions of states of discrete quantum numbers, such as neutrino mass/flavor. Such a…

Astrophysics · Physics 2008-11-26 Christian Y. Cardall

We present a general method to calculate radiative transfer including scattering in the continuum as well as in lines in spherically symmetric systems that are influenced by the effects of general relativity (GR). We utilize a comoving…

Astrophysics · Physics 2009-11-11 S. Knop , P. H. Hauschildt , E. Baron

We present the first extension of the special-relativistic Lattice-Boltzmann Method for radiative transport developed by Weih et al. (2020), to solve the radiative-transfer equation in curved spacetimes. The novel approach is based on the…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Tom Olsen , Luciano Rezzolla

Based on the Kompaneets approximation, we develop a robust methodology to calculate spectral redistribution via inelastic neutrino-nucleon scattering in the context of core-collapse supernova simulations. The resulting equations conserve…

High Energy Astrophysical Phenomena · Physics 2021-08-26 Tianshu Wang , Adam Burrows