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We describe in detail the implementation of a simplified approach toradiative transfer in general relativity by means of the well-known neutrinoleakage scheme (NLS). In particular, we carry out an extensive investigation ofthe properties and limitations of the NLS for isolated relativistic stars to alevel of detail that has not been discussed before in a general-relativisticcontext. Although the numerous tests considered here are rather idealized, theyprovide a well-controlled environment in which to understand the relationshipbetween the matter dynamics and the neutrino emission, which is important inorder to model the neutrino signals from more complicated scenarios, such asbinary neutron-star mergers. When considering nonrotating hot neutron stars weconfirm earlier results of one-dimensional simulations, but also present novelresults about the equilibrium properties and on how the cooling affects thestability of these configurations. In our idealized but controlled setup, wecan then show that deviations from the thermal and weak-interaction equilibriumaffect the stability of these models to radial perturbations, leading modelsthat are stable in the absence of radiative losses, to a gravitational collapseto a black hole when neutrinos are instead radiated.

Implementation of a simplified approach to radiative transfer in general relativity