PyGRO: a Python Integrator for General Relativistic Orbits

Fuente: arXiv
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Autore principale: Della Monica, Riccardo
Natura: Preprint
Pubblicazione: 2025
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author Della Monica, Riccardo
author_facet Della Monica, Riccardo
contents Advancement in recent years in the field of experimental gravitation has allowed to test the equivalence principle in regimes that were previously unexplored, allowing for unprecedented verifications of general relativity and also enabling tests of alternative theories of gravity. We introduce a new computational tool, PyGRO, with the aim of integrating numerically the geodesic equations for the trajectories of massive and massless test particles in any analytic four-dimensional space-time. The result is a modern, fast, open-source, highly customizable and user-friendly Python package to perform the numerical integration of the the geodesic equations. Combining symbolic and numerical calculations, PyGRO offers a variety of methods to obtain fully relativistic orbits with minimal intervention by the user, working in full generality with any user-given symbolic expression of the space-time metric tensor. We have tested PyGRO in an array of different scenarios, validating the methodology employed by successfully reproducing classical results from general relativity, which we report in this article.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20152
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PyGRO: a Python Integrator for General Relativistic Orbits
Della Monica, Riccardo
General Relativity and Quantum Cosmology
Advancement in recent years in the field of experimental gravitation has allowed to test the equivalence principle in regimes that were previously unexplored, allowing for unprecedented verifications of general relativity and also enabling tests of alternative theories of gravity. We introduce a new computational tool, PyGRO, with the aim of integrating numerically the geodesic equations for the trajectories of massive and massless test particles in any analytic four-dimensional space-time. The result is a modern, fast, open-source, highly customizable and user-friendly Python package to perform the numerical integration of the the geodesic equations. Combining symbolic and numerical calculations, PyGRO offers a variety of methods to obtain fully relativistic orbits with minimal intervention by the user, working in full generality with any user-given symbolic expression of the space-time metric tensor. We have tested PyGRO in an array of different scenarios, validating the methodology employed by successfully reproducing classical results from general relativity, which we report in this article.
title PyGRO: a Python Integrator for General Relativistic Orbits
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2504.20152