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xPert :
xPert : computer algebra for metric perturbation theory
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- Brizuela, David (author)
- CSIC
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- Martin-Garcia, José Maria (author)
- Linköpings universitet,Matematiska institutionen,Tekniska högskolan
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- Mena Marugan, Guillermo A (author)
- CSIC
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(creator_code:org_t)
- 2009-02-24
- 2009
- English.
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In: GENERAL RELATIVITY AND GRAVITATION. - : Springer Science and Business Media LLC. - 0001-7701 .- 1572-9532. ; 41:10, s. 2415-2431
- Related links:
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https://digital.csic...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- 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 nth 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 h.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Metric perturbation theory
- General relativity
- Tensor computer algebra
- MATHEMATICS
- MATEMATIK
Publication and Content Type
- ref (subject category)
- art (subject category)
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