Abstract
We show that the possibility of reducing the Einstein equations in isotropic Bondi coordinates for a spherically symmetric statistical case to two forms of a linear differential equation allows one to introduce procedures for generating a fortiori exact solutions of the gravitational equations from the known ones. A superposition of solutions is defined in a special way. Examples are given of the known solutions obtained in this way from flat space-time. The use of the proposed generating procedures allows one to find all exact solutions of the gravitational equations for neutral sources in the statistical, spherically symmetric case.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 5–9, June, 1990.
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Baranov, A.M., Paklin, N.N. Generation and construction of statistical spherically symmetric solutions of the gravitational equations. Soviet Physics Journal 33, 463–467 (1990). https://doi.org/10.1007/BF01324997
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DOI: https://doi.org/10.1007/BF01324997