Spinors: a Mathematica package for doing spinor calculus in General Relativity
Alfonso Garc\'ia-Parrado G\'omez-Lobo, Jos\'e M. Mart\'in-Garc\'ia
TL;DR
The paper introduces 'Spinors', a Mathematica package integrated into the 'xAct' system, enabling efficient 2-component spinor calculus for General Relativity computations with practical usage examples.
Contribution
It provides a comprehensive implementation of Penrose's spinor calculus in Mathematica, enhancing computational tools for General Relativity research.
Findings
Facilitates tensor and spinor calculations in 3+1 dimensions
Includes practical examples demonstrating usage
Integrates with existing 'xAct' tensor analysis tools
Abstract
The "Spinors" software is a "Mathematica" package which implements 2-component spinor calculus as devised by Penrose for General Relativity in dimension 3+1. The "Spinors" software is part of the "xAct" system, which is a collection of "Mathematica" packages to do tensor analysis by computer. In this paper we give a thorough description of "Spinors" and present practical examples of use.
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