2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99693This diploma thesis analyses static, spherically symmetric perfect fluid solutions to Einstein's field equations with cosmological constant. Constant density solutions are derived for different values of the cosmological constant. Eleven types of solutions are found, with an overview given at page 41. Furthermore the existence of a global solution is proved for a cosmological constant smaller than 4 Pi the boundary density, which is given by the equation of state.71 pages, 32 figures; minor layout changes, revised bibliography, one reference added; I would like to thank Prof. Bernd G. Schmidt who made this work possibleGeneral Relativity and Quantum CosmologyMathematical Physicstext