Gravitational field of electrically charged mass in the Lobachevski space

Foundations of Physics 25 (6):951-957 (1995)
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Abstract

A variant of the Rosen bimetric general relativity with the Lobachevski background space metric is considered. An exact static external solution for the gravitational field of a concentrated electrically charged mass is found when the space is spherically symmetric. When the Lobachevski constant k → ∞, the solution turns into the Nordström-Reissner solution in general relativity, expressed via the harmonic coordinates. The results are also valid for the Chernikov theory with two connections and one metric.

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General relativity with a background metric.Nathan Rosen - 1980 - Foundations of Physics 10 (9-10):673-704.

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