Abstract
A theorem is proved according to which a class of static solutions of a self-consistent system of Einstein-Klein-Gordon equations dependent on one arbitrary function is set in correspondence with a static solution of the Einstein equations with any given energy-momentum tensor Tij. Two particular cases are examined as an illustration of this theorem. Methods of constructing the static solutions of a system of Einstein-Klein-Gordon equations with an ideal fluid energy-momentum tensor and a massive scalar field are indicated therein.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 11–14, June, 1989.
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Anchikov, A.M., Daishev, R.A. Generation of static solutions of a self-consistent system of Einstein-Klein-Gordon equations. Soviet Physics Journal 32, 418–421 (1989). https://doi.org/10.1007/BF00898620
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DOI: https://doi.org/10.1007/BF00898620