Title :
Computational Aspects of the Calculation of Isometry Groups in General Relativity
Author :
Roveda, José Arnaldo F ; Skea, James E F ; Araújo, Marcelo E. ; Roveda, Sandra R M M
Author_Institution :
Unesp, Sorocaba, Brazil
Abstract :
We describe the ideas behind the package `isometry´, implemented in Maple to calculate isometry groups of dimensions 2, 3 and 4 in General Relativity. The package extends the functionality of previous programs written to perform invariant classification of space-times in General Relativity. Programming solutions used to surmount problems encountered with the calculation of eigenvectors and the determination of the signs of expressions are described. We also show how the package can be used to find the Killing vectors of a space-time.
Keywords :
eigenvalues and eigenfunctions; general relativity; group theory; space-time configurations; Killing vectors; eigenvectors; general relativity; isometry groups; space-times; Boosting; Equations; Orbital calculations; Orbits; Packaging; Tensile stress; Computer Algebra algorithms; Equivalence Problem; General Relativity; Group Theory; Invariant Classification; Isometry Group; Symbolic Computation;
Conference_Titel :
Computing, Engineering and Information, 2009. ICC '09. International Conference on
Conference_Location :
Fullerton, CA
Print_ISBN :
978-0-7695-3538-8
DOI :
10.1109/ICC.2009.77
