论文标题
部分可观测时空混沌系统的无模型预测
Cadabra and Python algorithms in General Relativity and Cosmology I: Generalities
论文作者
论文摘要
这项工作的目的是提出一系列具体的示例，这些示例说明了如何使用计算机代数系统卡达贝拉来操纵以一般相对论和其他引力理论出现的表达式。我们强调了Cadabra的哲学与其他具有相关功能的系统的不同。讨论了各种新内置软件包的使用，我们展示了如何直接使用笔记本接口直接创建此类软件包。 当前的论文着重于重力理论中的相当通用的应用，包括使用差分形式，田间方程的推导以及其解决方案的构建。后续论文讨论了与重力波分析有关的更具体的应用。
The aim of this work is to present a series of concrete examples which illustrate how the computer algebra system Cadabra can be used to manipulate expressions appearing in General Relativity and other gravitational theories. We highlight the way in which Cadabra's philosophy differs from other systems with related functionality. The use of various new built-in packages is discussed, and we show how such packages can also be created by end-users directly using the notebook interface. The current paper focuses on fairly generic applications in gravitational theories, including the use of differential forms, the derivation of field equations and the construction of their solutions. A follow-up paper discusses more specific applications related to the analysis of gravitational waves.
