Cadabra and Python algorithms in General Relativity and Cosmology II: Gravitational Waves

TL;DR

This paper demonstrates how Cadabra, integrated with Python, can be used to develop flexible algorithms for tensor perturbations in General Relativity, with applications to gravitational wave research.

Contribution

It introduces a novel Python-based implementation of Cadabra for tensor perturbation decomposition up to any order, enhancing computational tools in gravitational wave studies.

Findings

Efficient algorithm for tensor decomposition at arbitrary perturbative order

Successful application to first and higher-order gravitational wave calculations

Enhanced flexibility and customization in tensor computations

Abstract

Computer Algebra Systems (CASs) like Cadabra Software play a prominent role in a wide range of research activities in physics and related fields. We show how Cadabra language is easily implemented in the well established Python programming framework, gaining excellent flexibility and customization to address the issue of tensor perturbations in General Relativity. We obtain a performing algorithm to decompose tensorial quantities up to any perturbative order of the metric. The features of our code are tested by discussing some concrete computational issues in research activities related to first/higher-order gravitational waves.