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Manuscript Title: Spinors: a Mathematica package for doing spinor calculus in General Relativity | ||

Authors: Alfonso García-Parrado Gómez-Lobo, José M. Martín-García | ||

Program title: Spinors | ||

Catalogue identifier: AEMQ_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 183(2012)2214 | ||

Programming language: Mathematica. | ||

Computer: Any computer running Mathematica 7.0 or higher. | ||

Operating system: Any operating system compatible with Mathematica 7.0 or higher. | ||

RAM: 94Mb in Mathematica 8.0. | ||

Keywords: General Relativity, Spinor calculus. | ||

PACS: 04.20.-q, 02.40.-k, 04.20.Gz. | ||

Classification: 1.5. | ||

External routines: Mathematica packages xCore, xPerm and xTensor which are part of the xAct system. These
can be obtained at http://www.xact.es. | ||

Nature of problem:Manipulation and simplification of spinor expressions in General Relativity. | ||

Solution method:Adaptation of the tensor functionality of the xAct system for the specific situation of spinor calculus in four dimensional Lorentzian geometry. | ||

Restrictions:The software only works on 4-dimensional Lorentzian space-times with metric of signature (1, -1, -1, -1). There is no direct support for Dirac spinors. | ||

Unusual features:Easy rules to transform tensor expressions into spinor ones and back. Seamless integration of abstract index manipulation of spinor expressions with component computations. | ||

Running time:Under one second to handle and canonicalize standard spinorial expressions with a few dozen indices. (These expressions arise naturally in the transformation of a spinor expression into a tensor one or vice-versa). |

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