2024-03-29T09:11:26Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/244822016-02-16T07:14:47Zcom_10261_135com_10261_4col_10261_388
2010-05-19T10:56:30Z
urn:hdl:10261/24482
xPert: computer algebra for metric perturbation theory
Brizuela, David
Martín-García, José María
Mena Marugán, Guillermo A.
Metric perturbation theory
General relativity
Tensor computer algebra
11 pags., 4 figs.
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.
2010-05-19T10:56:30Z
2010-05-19T10:56:30Z
2009-02-24
artículo
General Relativity and Gravitation, 41 (10) : 2415-2431 (2009)
1572-9532
http://hdl.handle.net/10261/24482
10.1007/s10714-009-0773-2
eng
http://dx.doi.org/ 10.1007/s10714-009-0773-2
openAccess
Springer