Spherically symmetric static configurations of uniform density in spacetimes with a non-zero cosmological constant

Interior solutions of Einstein's equations with a non-zero cosmological con stant are given for static and spherically symmetric configurations of unif orm density. The metric tensor and pressure are determined for both positiv e and negative values of the cosmological constant. Limits on the outer rad ius of the interior solutions are established. It is shown that, contrary t o the cases of the limits on the interior Schwarzschild and Reissner-Nordst rom solutions with a zero cosmological constant, these limits do not fully coincide with the conditions of embeddability of the optical reference geom etry associated with the exterior (vacuum) Schwarzschild-de Sitter spacetim e.