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Generation of static solutions of the self-consistent system of Einstein-Maxwell equations

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Abstract

A theorem is proved, according to which to each solution of the Einstein equations with an arbitrary momentum-energy tensor in the right hand side there corresponds a static solution of the self-consistent system of Einstein-Maxwell equations. As a consequence of this theorem, a method is established of generating static solutions of the self-consistent system of Einstein-Maxwell equations with a charged grain as a source of vacuum solutions of the Einstein equations.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 98–102, February, 1988.

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Anchikov, A.M., Daishev, R.A. Generation of static solutions of the self-consistent system of Einstein-Maxwell equations. Soviet Physics Journal 31, 167–171 (1988). https://doi.org/10.1007/BF00896544

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Keywords

  • Static Solution
  • Einstein Equation
  • Vacuum Solution