Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

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A visualization of null geodesics for the bonnor massive dipole
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Keywords

general relativity
geodesics
differential geometry
free software
relatividad general
geodésicas
geometría diferencial
software libre

How to Cite

Oliva-Mercado, G. A., Bonatti-González, J., Cordero-García, I., & Frutos-Alfaro, F. (2015). A visualization of null geodesics for the bonnor massive dipole. Revista De Matemática: Teoría Y Aplicaciones, 22(2), 255–264. https://doi.org/10.15517/rmta.v22i2.20723

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.
https://doi.org/10.15517/rmta.v22i2.20723
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References

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Bonnor, W.B. (1965) “An exact solution of the Einstein-Maxwell equations referring to a magnetic dipole”, Zeitschrift für Physik 190: 444–445.

Kovár̆, J.; Kopác̆ek, O.; Karas, V.; Kojima, Y. (2013) “Regular and chaotic orbits near a massive magnetic dipole”, Classical and Quantum Gravity 30(2), 025010.

Müller, T.; Frauendiener, J. (2011) “Studying null and time-like geodesics in the classroom”, Eur. J. Phys. 32 747 doi:10.1088/0143-0807/32/3/011

Sanabria V., J.D.; Valenzuela, C.A. (2011) “Motion of charged test particles in a static spacetime endowed with magnetic field”, Revista Colombiana de Física 43(1), 4 pages.

Scherer, D.; Dubois, P.; Sherwood, B. (2000) “VPython: 3D interactive scientific graphics for students”, Computing in Science and Engineering, Sept./Oct. 2000: 82–88.

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