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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References
N. Rosen,Found. Phys. 10, 673 (1980).
N. A. Chernikov,Acta Phys. Pol. B 24, 927 (1993).
N. Rosen,Phys. Rev. 57, 147 (1940).
F. J. Belinfante and J. C. Garrison,Phys. Rev. 125, 1124 (1962).
K. Lanczos,Phys. Z. 23, 577 (1922).
R. A. Asanov,Gen. Rel. Gravit. 21, 149 (1989).
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Dedicated to Professor N. Rosen on the occasion of his 85th birthday.
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Asanov, R.A. Gravitational field of electrically charged mass in the Lobachevski space. Found Phys 25, 951–957 (1995). https://doi.org/10.1007/BF02080570
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DOI: https://doi.org/10.1007/BF02080570