Abstract
A new interior Schwarzschild solution is presented. It is static, spherically symmetric, regular everywhere inside a sphere of coordinate radius
a
, and across the surface of this sphere it is joined smoothly to the exterior Schwarzschild solution. There are no radial stresses inside the sphere. The radius
a
is subject to the inequality
a
> 2
m
, where
m
is the gravitational mass of the sphere. Under certain conditions the new solution may be interpreted as the field inside an Einstein cluster.
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