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Canonical connectivity and conservation laws in gravitation

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Abstract

The Riemann-canonical tetrad which defines, in the general case, six 2-directions of extreme values of the sectional Riemann curvature is introduced. It localizes the gravitational energy, defines the canonical 1-form of connectivity and canonical tetrad currents introduced by the author, which provide the conservation laws in the Einstein-Cartan theory.

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Authors and Affiliations

  1. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii pr. 53, Moscow, 119991, Russia

    R. F. Polishchuk

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  1. R. F. Polishchuk
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Correspondence to R. F. Polishchuk.

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Original Russian Text © R.F. Polishchuk, 2014, published in Kratkie Soobshcheniya po Fizike, 2014, Vol. 41, No. 7, pp. 8–19.

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Polishchuk, R.F. Canonical connectivity and conservation laws in gravitation. Bull. Lebedev Phys. Inst. 41, 185–191 (2014). https://doi.org/10.3103/S1068335614070021

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  • DOI: https://doi.org/10.3103/S1068335614070021

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