Implementation of a simplified approach to radiative transfer in general relativity
Abstract
We describe in detail the implementation of a simplified approach to radiative transfer in general relativity by means of the wellknown neutrino leakage scheme (NLS). In particular, we carry out an extensive investigation of the properties and limitations of the NLS for isolated relativistic stars to a level of detail that has not been discussed before in a generalrelativistic context. Although the numerous tests considered here are rather idealized, they provide a wellcontrolled environment in which to understand the relationship between the matter dynamics and the neutrino emission, which is important in order to model the neutrino signals from more complicated scenarios, such as binary neutronstar mergers. When considering nonrotating hot neutron stars we confirm earlier results of onedimensional simulations, but also present novel results about the equilibrium properties and on how the cooling affects the stability of these configurations. In our idealized but controlled setup, we can then show that deviations from the thermal and weakinteraction equilibrium affect the stability of these models to radial perturbations, leading models that are stable in the absence of radiative losses, to a gravitational collapse to a black hole when neutrinos are instead radiated.
 Publication:

Physical Review D
 Pub Date:
 September 2013
 DOI:
 10.1103/PhysRevD.88.064009
 arXiv:
 arXiv:1306.4953
 Bibcode:
 2013PhRvD..88f4009G
 Keywords:

 04.25.D;
 95.30.Jx;
 97.60.Jd;
 26.60.c;
 Numerical relativity;
 Radiative transfer;
 scattering;
 Neutron stars;
 Nuclear matter aspects of neutron stars;
 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena
 EPrint:
 32 pages, 16 figures, updated to version published on PRD. Corrected an error in table II