论文标题

数值相对论简介

Introduction to Numerical Relativity

论文作者

Palenzuela, Carlos

论文摘要

数值相对论是一个多学科领域,包括相对论,磁性流动力学,天体物理学和计算方法等,目的是解决在数值高度逐渐高,强烈的重力场景上,没有其他近似值。在这里,我们描述了该领域的一些基础,从协方差的爱因斯坦方程开始,以及如何将它们作为良好的进化方程式编写,讨论了当今通常采用的不同形式主义,坐标条件和数值方法,用于重力波源建模。

Numerical Relativity is a multidisciplinary field including relativity, magneto-hydrodynamics, astrophysics and computational methods, among others, with the aim of solving numerically highly-dynamical, strong-gravity scenarios where no other approximations are available. Here we describe some of the foundations of the field, starting from the covariant Einstein equations and how to write them as a well-posed system of evolution equations, discussing the different formalisms, coordinate conditions and numerical methods commonly employed nowadays for the modeling of gravitational wave sources.

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