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J. Math. Phys. 19, 987 (1978); http://dx.doi.org/10.1063/1.523804 (4 pages)
Electromagnetic solutions of Brans–Dicke theory of gravitation from Einstein theory
A class of static and nonstatic solutions of the Brans–Dicke theory of gravitation is obtained in the presence of an electromagnetic field. The metric coefficients and fields (both scalar and electromagnetic) are supposed to be functions of any three independent variables. The major result of the paper may be stated as follows: ’’Corresponding to any diagonalizable solution of Einstein’s vacuum field equations in which fields and metric coefficients are functions of not more than three variables, we can generate a solution of the coupled Brans–Dicke Maxwell field equations with nonzero electromagnetic field.’’
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