Conformally flat static space–time in Brans–Dicke theory

For the conformally flat spherically symmetric static space–time we obtain the most general solution for Brans–Dicke field equations for a vacuum. By coupling the electromagnetic field to Brans–Dicke theory and imposing the condition of asymptotical flatness we obtain the most general solution for the space–time. We also present some other solutions of Brans–Dicke field equations with the conformally flat condition but without any particular symmetry. Finally, we give the transformation for generating solutions of Brans–Dicke field equations with or without electromagnetic field for ω = −3/2 from purely vacuum solutions of Einstein’s field equations.