Chernikov, N. A. Lobachevsky geometry and the modern theory of gravitation. (English. Russian original) Zbl 0838.53060 Russ. Math. 38, No. 2, 58-64 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 2 (381), 60-66 (1994). The author continues some of his previous work, in order to “translate” geometrical objects from the general theory of relativity into affine differential objects. A background linear connection is used to avoid the pseudo-tensor provided by the energy density. Reviewer: G.Pripoae (Bucureşti) MSC: 53Z05 Applications of differential geometry to physics 83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems) 83C10 Equations of motion in general relativity and gravitational theory 83-02 Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory Keywords:Lobachevsky geometry; gravitation PDF BibTeX XML Cite \textit{N. A. Chernikov}, Russ. Math. 38, No. 2, 1 (1994; Zbl 0838.53060); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 2 (381), 60--66 (1994)