Use of the xCoba Mathematica package to do tensor computations with components in General Relativity
xCoba is part of the xAct package. It is open source, under a GPL license and can be found at:
http://www.xact.es
. Definition of a chart
. CTensor tensors and their algebra. Contractions.
. Accessing components of CTensors: Basis index, ComponentArray.
. The metric, index raising/lowering.
. Covariant derivative of a metric.
. Curvature tensors.
. Accessing the basis vectors directly using Basis[ ]
Notebooks provided at the course's website: http://www.physics.ntua.gr/konstant/GR/videos.html
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Supplementary material for the undergraduate course “General Relativity and Cosmology” offered at the Physics Department of the School of Applied Mathematical and Physical Sciences of the National Technical University of Athens (NTUA).
Related page: http://physics.ntua.gr/konstant/GR/
Instructor:
Konstantinos N. Anagnostopoulos (spring 2023), Associate Professor of Physics, NTUA
http://physics.ntua.gr/konstant
