广义相对论中辐射转移的简化方法的实现
Implementation of a simplified approach to radiative transfer in general relativity
摘要：
我们详细描述了一个简化的方法来实现广义相对论的辐射转移的著名的中微子泄漏计划（NLS）。特别是，我们进行了广泛的调查的性质和局限性的NLS孤立的相对论性恒星的详细程度，还没有被讨论过的一般相对论性的背景下。虽然这里考虑的许多测试是相当理想化的，但它们提供了一个良好的控制环境，可以理解物质动力学和中微子发射之间的关系，这对于模拟更复杂的情况下的中微子信号非常重要，例如双中子星合并。当考虑非旋转热中子星，我们确认早期的一维模拟结果，但也提出了新的结果的平衡性质和冷却如何影响这些配置的稳定性。在我们理想化但受控的设置中，我们可以证明偏离热平衡和弱相互作用平衡会影响这些模型对径向扰动的稳定性，导致在没有辐射损失的情况下稳定的模型，当中微子被辐射时，会导致引力坍缩到黑洞。
英文摘要：
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 and limitations of the NLS for isolated relativistic stars to a level of detail that has not been discussed before in a general-relativistic context. Although the numerous tests considered here are rather idealized, they provide a well-controlled 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 neutron-star mergers. When considering nonrotating hot neutron stars we confirm earlier results of one-dimensional 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 weak-interaction 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.
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