Abstract
Gravi-inertial reference frames — the analogue of inertial frames in two-dimensional space — are constructed in Schwarzschild and Kerr spaces. With their help the energy, momentum, and angular momentum of these systems are determined. A form is found for writing Kerr's solution in Bondi-Sachs coordinates in the slow-rotation approximation. A new solution of Einstein's equations is found in this approximation which describes the gravitational field of a rotating and radiating source.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 95–104, February, 1975.
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Dozmorov, I.M. Gravi-inertial reference frames in Schwarzschild and Kerr spaces. Soviet Physics Journal 18, 224–231 (1975). https://doi.org/10.1007/BF01103933
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DOI: https://doi.org/10.1007/BF01103933