A brief introduction to Cadabra: a tool for tensor computations in General Relativity

Details A brief introduction to Cadabra: a tool for tensor computations in General Relativity A brief introduction to Cadabra: a tool for tensor computations in General Relativity

2009-03-12

arxiv.org/abs/0903.2085v1

Comput.Phys.Commun.181:489-498,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1016/j.cpc.2009.10.020

Cadabra is a powerful computer program for the manipulation of tensor equations. It was designed for use in high energy physics but its rich structure and ease of use lends itself well to the routine computations required in General Relativity. Here we will present a series of simple examples showing how Cadabra may be used, including verifying that the Levi-Civita connection is a metric connection and a derivation of the Gauss equation between induced and ambient curvatures.

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