Developments in GRworkbench

TL;DR

GRworkbench is a software tool for visual and numerical general relativity, recently extended with a functional programming engine that improves accuracy, efficiency, and enables complex numerical experiments in space-times.

Contribution

The paper introduces a new functional differential geometric engine in GRworkbench, enhancing its capabilities for numerical experimentation in general relativity.

Findings

Enhanced visualization of space-time objects

More accurate and efficient numerical computations

New tools for simulating complex physical scenarios

Abstract

The software tool GRworkbench is an ongoing project in visual, numerical General Relativity at The Australian National University. Recently, GRworkbench has been significantly extended to facilitate numerical experimentation in analytically-defined space-times. The numerical differential geometric engine has been rewritten using functional programming techniques, enabling objects which are normally defined as functions in the formalism of differential geometry and General Relativity to be directly represented as function variables in the C++ code of GRworkbench. The new functional differential geometric engine allows for more accurate and efficient visualisation of objects in space-times and makes new, efficient computational techniques available. Motivated by the desire to investigate a recent scientific claim using GRworkbench, new tools for numerical experimentation have been implemented, allowing for the simulation of complex physical situations.