Abstract
The spin-0 field equation is separated in a general Schwarzschild metric that depends on an arbitrary radial function. The separated radial equation is discussed in general. The existence of a complete set of solutions, orthogonal in an associated scalar product, is pointed out. It is shown that no non-trivial Schwarzschild-type metric exists for which the scalar product coincides with the one induced by the current relative to the field equation. The radial differential equation is discussed in an explicit Schwarzschild metric that does not contain spurious singularities. It is remarked that the equation can be reduced and integrated by series in a way very similar to the case of the Baer wave equation.
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