  Among several authors, who studied massive and massless scalar meson fields
in general relativity, attempts to obtain a complete set of solutions for a
conformally flat metric $e^{\psi}\left({dx^1}^2 + {dx^2}^2 + {dx^3}^2 -
{dx^4}^2\right)$ were made by Ray for massive and massless mesons and Gursay
for massless mesons. Both of them concluded that $\psi$ must be a function of
$K_0\left({dx^1}^2 + {dx^2}^2 + {dx^3}^2 -{dx^4}^2\right) + K_1 x^1 + K_2 x^2 +
K_3 x^3 + K_4 x^4$, where, where $K_0,~K_1,~ K_2,~K_3,~K_4$ are all constants.
Both Ray and Gursay, however, overlooked an important particular case, which is
studied here. As a by-product certain equations obtained by Auria and Regge in
connection with "Gravitational theories with asymptotic flat Instantons," are
solved under less restrictive assumptions.
