A Visualization of Null Geodesics for the Bonnor Massive Dipole
General Relativity and Quantum Cosmology
2015-10-20 v1 Differential Geometry
Abstract
In this work we simulate null geodesics for the Bonnor massive dipole metric by implementing a symbolic-numerical algorithm in Sage and Python. This program is also capable of visualizing in 3D, in principle, the geodesics for any given metric. Geodesics are launched from a common point, collectively forming a cone of light beams, simulating a solid-angle section of a point source in front of a massive object with a magnetic field. Parallel light beams also were considered, and their bending due to the curvature of the space-time was simulated.
Cite
@article{arxiv.1504.04844,
title = {A Visualization of Null Geodesics for the Bonnor Massive Dipole},
author = {Guillermo Andree Oliva-Mercado and Javier Bonatti-González and Iván Cordero-García and Francisco Frutos-Alfaro},
journal= {arXiv preprint arXiv:1504.04844},
year = {2015}
}
Comments
9 pages, 5 figures, Presented at XIX Simposio Internacional de M\'etodos Matem\'aticos Aplicados a las Ciencias (19th International Symposium of Mathematical Methods Applied to Sciences, XIX-SIMMAC)