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;