xTENSOR:. a Free Fast Abstract Tensor Manipulator

Details xTENSOR:. a Free Fast Abstract Tensor Manipulator xTENSOR:. a Free Fast Abstract Tensor Manipulator

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1552m&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

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The package xTensor is introduced, a very fast and general manipulator of tensor expressions for Mathematica. Manifolds and vector bundles can be defined containing tensor fields with arbitrary symmetry, connections of any type, metrics and other objects. Based on the Penrose abstract-index notation, xTensor has a single canonicalizer which fully simplifies all expressions, using highly efficient techniques of computational group theory. A number of companion packages have been developed to address particular problems in General Relativity, like metric perturbation theory or the manipulation of the Riemann tensor.

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