标题： BSSN在球对称性中 显示英文标题

标题： BSSN in Spherical Symmetry

摘要： BSSN（Baumgarte-Shapiro-Shibata-Nakamura）形式的爱因斯坦演化方程在球对称情况下书写。 这些方程可用于在单个施瓦茨希尔德黑洞的背景下解决数值相对论中的许多技术性和概念性问题。 球对称的一个优点是数值网格点可以在克鲁斯卡尔-泽克雷斯图上跟踪。 给出了适用于施瓦茨希尔德黑洞尖点演化的边界条件。 展示了使用方程的四阶有限差分实现进行尖点演化的几个结果。 显示英文摘要

摘要： The BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation of the Einstein evolution equations is written in spherical symmetry. These equations can be used to address a number of technical and conceptual issues in numerical relativity in the context of a single Schwarzschild black hole. One of the benefits of spherical symmetry is that the numerical grid points can be tracked on a Kruskal--Szekeres diagram. Boundary conditions suitable for puncture evolution of a Schwarzschild black hole are presented. Several results are shown for puncture evolution using a fourth--order finite difference implementation of the equations.