Simultaneous baldness and cosmic baldness and Kottler spacetime

摘要

The uniqueness of the Kottler/Schwarzschild-de Sitter solution of the vacuumEinstein equations with positive cosmological constant is discussed and certainputative alternatives are shown to either solve different equations or to bethe KSdS solution in disguise. A simultaneous no-hair and cosmic no-hairtheorem for the KSdS geometry in the presence of an imperfect fluid is proved.