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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.
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