标题： 真空爱因斯坦方程的双曲面初值问题的数值处理。 I. 共形场方程 显示英文标题

标题： Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. I. The conformal field equations

摘要： 这是关于爱因斯坦引力理论中弗里德里希共形场方程数值解的一系列文章中的第一篇。本文我们将讨论为何应该对物理问题应用共形方法，以及为何从数值角度来看这可能是一个好主意。我们详细描述了我们在实现方程时所使用的旋量形式下的共形场方程的推导过程，并将所有方程作为未来工作的参考。最后，我们讨论了连续对称性假设的影响。 显示英文摘要

摘要： This is the first in a series of articles on the numerical solution of Friedrich's conformal field equations for Einstein's theory of gravity. We will discuss in this paper why one should be interested in applying the conformal method to physical problems and why there is good hope that this might even be a good idea from the numerical point of view. We describe in detail the derivation of the conformal field equations in the spinor formalism which we use for the implementation of the equations, and present all the equations as a reference for future work. Finally, we discuss the implications of the assumptions of a continuous symmetry.