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Generation of static solutions of a self-consistent system of Einstein-Klein-Gordon equations

  • Elementary Particle Physics and Field Theory
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Soviet Physics Journal Aims and scope

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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Literature cited

  1. A. V. Nosovets, Dep. No. 4184-82, VINITI (1982).

  2. O. Buchdahl, Phys. Rev.,115, No. 6, 1323 (1959).

    Google Scholar 

  3. K. B. Harrison, Phys. Rev.,138, No. 3, 488 (1965).

    Google Scholar 

  4. K. B. Harrison, J. Math. Phys.9, No. 11, 1744 (1968).

    Google Scholar 

  5. E. Volker, Zeitschrift fur Naturforschung,22A, 1361 (1967).

    Google Scholar 

  6. R. M. Misra, Phys. Rev. D, Part. Fields,2, No. 10, 2125 (1970).

    Google Scholar 

  7. R. A. Daishev and A. M. Anchikov, Gravitation and Relativity Theory [in Russian], No. 10–11, 55, Izd. Kazan', Gosud. Univ. (1976).

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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

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