# The use of symbolic calculations in post-Riemannian and multidimensional theories of gravity

*O.V. Babourova*^{1}, R.S. Kostkin^{2}, B.N. Frolov^{3}

(1) Moscow Pedagogical State University, Faculty of Physics and Information Technologies, Malaya Pirogovskaya ul. 29, Moscow 119992, Russia

(2) Moscow Pedagogical State University, Mathematical Faculty, Krasnoprudnaya ul. 14, Moscow 107140, Russia

(3) Moscow Pedagogical State University, Faculty of Physics and Information Technologies, Malaya Pirogovskaya ul. 29, Moscow 119992, Russia

### Abstract

We have developed new methods of using symbolic computer calculations for four- and higher-dimensional, geometrically generalized spaces. In particular,we work with differential identities in order to check the variational field equations of a conformal theory of gravity with a scalar field in Weyl-Cartan space. To simplify the navigation, we have worked out a graphic user interface, making it possible to solve problems of a post-Riemannian theory of gravity in Weyl-Cartan space, as well as those of the Kaluza-Klein five-dimensional unified theory of gravity and electromagnetism, in particular, in the external form formalism.

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