xPert: Computer algebra for metric perturbation theory

Details xPert: Computer algebra for metric perturbation theory xPert: Computer algebra for metric perturbation theory

2008-07-06

arxiv.org/abs/0807.0824v1

Gen.Rel.Grav.41:2415-2431,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 4 figures. Package can be downloaded from http://metric.iem.csic.es/Martin-Garcia/xAct/xPert/

Scientific paper

10.1007/s10714-009-0773-2

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.

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