**Publication date:** Mar 2008

**Abstract:**

Interior solutions of Einstein’s equations with a non-zero cosmological

constant are given for static and spherically symmetric configurations

of uniform density. The metric tensor and pressure are determined for

both positive and negative values of the cosmological constant. Limits

on the outer radius of the interior solutions are established. It is

shown that, contrary to the cases of the limits on the interior

Schwarzschild and Reissner–Nordstr"om solutions with a zero

cosmological constant, these limits do not fully coincide with the

conditions of embeddability of the optical reference geometry associated

with the exterior (vacuum) Schwarzschild–de Sitter spacetime.

**Authors:**

Stuchlík, Zdeněk;