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

fYear

2009

fDate

2-4 April 2009

Firstpage

19

Lastpage

22

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Computing, Engineering and Information, 2009. ICC '09. International Conference on

Conference_Location

Fullerton, CA

Print_ISBN

978-0-7695-3538-8

Type

conf

DOI

10.1109/ICC.2009.77

Filename

5328970