Narrow Results

The Schwarzschild-de Sitter/Kottler geometry is the unique spherical solution of the vacuum Einstein equations with positive cosmological constant. Putative alternatives in the literature are shown to either solve different equations or to be the SdSK solution in disguise. No-hair and cosmic no-hair come together in a new simultaneous theorem for SdSK in the presence of an imperfect fluid.

In this talk, we investigate the cosmic no-hair conjecture for perturbed Nariai solutions within the class of Gowdy symmetric solutions of Einstein’s field equations in vacuum with a positive cosmological constant. In particular, we are interested whether these perturbations allow to construct new cosmological black hole solutions.