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Interior solutions of Einstein's equations with a non-zero cosmologicalconstant are given for static and spherically symmetric configurations ofuniform density. The metric tensor and pressure are determined for bothpositive and negative values of the cosmological constant. Limits on the outerradius of the interior solutions are established. It is shown that, contrary tothe cases of the limits on the interior Schwarzschild and Reissner--Nordstr\"omsolutions with a zero cosmological constant, these limits do not fully coincidewith the conditions of embeddability of the optical reference geometryassociated with the exterior (vacuum) Schwarzschild--de Sitter spacetime.

Spherically Symmetric Static Configurations of Uniform Density in Spacetimes with a Non-Zero Cosmological Constant