AT4 - Geometric Calculus in Gravity Theory |
Speaker_ |
Korolyov, Valery |
Co-autors |
Olga Babourova, Boris Frolov |
Talk _ |
Modification of the Mathematica package CARTAN for the calculations with |
Abstract _ |
One of the perspective alternative gravitational theories is the gravitational theory in the Weyl-Cartan space. In order to get a possibility of performing the calculation in Weyl-Cartan geometry of arbitrary dimension and signature the Mathematica package CARTAN created by H.H. Soleng is modified. The calculation procedures of the package CARTAN are added by Weyl objects as new functions and variables. Introducing of nonmetricity tensor of the Weyl type is realized in interactive mode as predefined declaration. The essence of the package CARTAN modification is realized in the form of the additional packages whish are available to calculate the following Weyl objects: Weyl vector, connection defect, Weyl-Cartan connection and corresponding covariant derivative, Weyl-Cartan curvature tensor and its contractions, Einstein tensor in the Weyl-Cartan space. |