\(xPert\): Computer algebra for metric perturbation theory
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Publication:1031882
DOI10.1007/S10714-009-0773-2zbMATH Open1176.83004arXiv0807.0824OpenAlexW2031435923MaRDI QIDQ1031882
Author name not available (Why is that?)
Publication date: 23 October 2009
Published in: (Search for Journal in Brave)
Abstract: We present the tensor computer algebra package xPert for fast construction and manipulation of the equations of metric perturbation theory, around arbitrary backgrounds. It is based on the combination of explicit combinatorial formulas for the n-th order perturbation of curvature tensors and their gauge changes, and the use of highly efficient techniques of index canonicalization, provided by the underlying tensor system xAct, for Mathematica. We give examples of use and show the efficiency of the system with timings plots: it is possible to handle orders n=4 or n=5 within seconds, or reach n=10 with timings below 1 hour.
Full work available at URL: https://arxiv.org/abs/0807.0824
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