GRworkbench: A Computational System Based on Differential Geometry

TL;DR

GRworkbench is a new computational tool designed for numerical analysis in General Relativity, leveraging Differential Geometry principles to enable robust and general computations on analytically defined space-times.

Contribution

It introduces a C++-based system that closely follows Differential Geometry, providing a systematic and flexible approach unlike previous ad hoc tools.

Findings

Successfully implements Differential Geometry concepts in C++ classes

Enables robust numerical computations on analytically defined space-times

Demonstrates utility through practical examples

Abstract

We have developed a new tool for numerical work in General Relativity: GRworkbench. While past tools have been ad hoc, GRworkbench closely follows the framework of Differential Geometry to provide a robust and general way of computing on analytically defined space-times. We discuss the relationship between Differential Geometry and C++ classes in GRworkbench, and demonstrate their utility.