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A static spherically symmetric solution for interacting scalar, electromagnetic, and gravitational fields

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Abstract

A unified theory of interacting scalar, electromagnetic, and gravitational fields constructed in previous papers by the author is used in considering a static spherically symmetrical case. An effective one-dimensional Lagrangian is derived together with the corresponding Hamilton-Jacobi equation. The solution to this equation is used in deriving a solution to Einstein's equations for the initial system of interacting fields. Some consequences of the solution are examined. A relationship is derived between the constants of integration that ensures finiteness in the total field energy.

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Authors and Affiliations

  1. Dnepropetrovsk University, USSR

    V. D. Gladush

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  1. V. D. Gladush
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 74–80, March, 1980.

I am indebted to Yu. S. Vladimirov and V. N. Mel'nikov, as well as other participants in the seminar of the Gravitation Section of the Ministry of Technical Colleges of the USSR, for their interest and valuable comments.

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Gladush, V.D. A static spherically symmetric solution for interacting scalar, electromagnetic, and gravitational fields. Soviet Physics Journal 23, 240–245 (1980). https://doi.org/10.1007/BF00895085

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  • DOI: https://doi.org/10.1007/BF00895085

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