  (Foreword by translator.) The aim of present translation is to clarify the
historically important question who was the pioneer in obtaining of exact
static solutions of Einstein equations minimally coupled with scalar field.
Usually, people cite the works by Janis, Newman, Winicour (Phys. Rev. Lett. 20
(1968) 878) and others authors whereas it is clear that JNW rediscovered (in
other coordinates) the Fisher's solution which was obtained 20 years before, in
1947. Regrettably, up to now I continue to meet many papers (even very fresh
ones) whose authors evidently do not know about the Fisher's work, so I try to
remove this gap by virtue of present translation and putting it into the LANL
e-print archive. (Original Abstract.) It is considered the scalar mesostatic
field of a point source with the regard for spacetime curvature caused by this
field. For the field with $\mass = 0$ the exact solution of Einstein equations
was obtained. It was demonstrated that at small distance from a source the
gravitational effects are so large that they cause the significant changes in
behavior of meson field. In particular, the total energy of static field
diverges logarithmically.

General Relativity and Quantum Cosmology;History and Philosophy of Physics