Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] aeex_v3_1.tar.gz(6648 Kbytes) | ||
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Manuscript Title: Motion4D-library extended | ||

Authors: Thomas Müller | ||

Program title: Motion4D-library | ||

Catalogue identifier: AEEX_v3_1Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 185(2014)2798 | ||

Programming language: C++. | ||

Computer: All platforms with a C++ compiler. | ||

Operating system: Linux, Windows. | ||

RAM: 61 MBytes | ||

Keywords: General relativity, Timelike and lightlike geodesics, Sachs basis, Jacobi equation. | ||

PACS: 04.20.-q, 04.25.D-, 04.20.Ex. | ||

Classification: 1.5. | ||

External routines: GNU Scientic Library (GSL) (http://www.gnu.org/software/gsl/) | ||

Does the new version supersede the previous version?: Yes | ||

Nature of problem:Solve geodesic equation, parallel and Fermi-Walker transport in four-dimensional Lorentzian spacetimes. Determine gravitational lensing by integration of Jacobi equation and parallel transport of Sachs basis. | ||

Solution method:Integration of ordinary differential equations. | ||

Reasons for new version:The main reason for the new version is the update of some methods to work with the four-dimensional ray tracing code GeoViS. Furthermore, some new
metrics and integrators were implemented. | ||

Summary of revisions:The four-dimensional ray tracing code [1] is based on the Motion4D library. All of the metrics and geodesic integrators of the library can be accessed by means of GeoViSGeoViS ' scheme-based scripting language. For that, some methods had to be updated.In the following, a list of newly implemented metrics is given: -
*AlcubierreSimple:*This metric uses a simplified warp bubble function compared to the original one by Alcubierre [2], see McMonigal et al. [3]. -
*ChazyCurzonRot:*The metric of the rotational Chazy-Curzon solution is taken from Stephani et al. [4]. -
*Curzon:*The Curzon metric in cylindrical coordinates is taken from Scott and Szekeres [5]. -
*EinsteinRosenWaveWWB:*A detailed discussion of the Einstein-Rosen wave with a Weber-Wheeler-Bonnor pulse can be found in Griffiths and Micciche [6]. -
*ErezRosenVar:*The original Erez-Rosen metric is quite intricate, see e.g. Krori and Sarmah [7]. Hence, we use here a reduced version with a simpler quadrupole term. -
*KastorTraschen:*The Kastor-Traschen metric with two black holes is taken from Griffiths and Podolský [8]
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Running time:The test runs provided with the distribution require only a few seconds to run. | ||

References: | ||

[1] | T. Müller, GeoViS - Relativistic ray tracing in four-dimensional spacetimes, accepted for publication in Computer Physics Communications. | |

[2] | M. Alcubierre, Classical Quantum Gravity 11, L73 (1994). | |

[3] | B. McMonigal, G. F. Lewis, and P. O'Byrne, Physical Review D 85, 064024 (2012). | |

[4] | H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions of the Einstein Field Equations (Cambridge University Press, 2009). | |

[5] | Susan M. Scott and P. Szekeres, Gen. Relativ. Gravit. 18, 557 (1986). | |

[6] | J. B. Griffiths and S. Micciche, Physics Letters A 223, 37 (1997). | |

[7] | K. D. Krori and I. C. Sarmah, Gen. Relativ. Gravit. 23, 801 (1991). | |

[8] | J. B. Griffiths and J. Podolský, Exact Space-Times in Einstein's General Relativity (Cambridge University Press, 2009). | |

[8] | A. Guthmann, Einführung in die Himmelsmechanik und Ephemeridenrechnung (Spektrum Verlag, 2000, german). |

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