Seminarium Kosmologia i Fizyka Cząstek

I will discuss the evidence that has been built up for the instability of anti-de Sitter (AdS) space-time against black hole formation under arbitrarily small generic perturbations together with the class of asymptotically AdS solutions immune to this instability, in particular, a class of stable time-periodic solutions of the Einstein equations allowed by the negative value of cosmological constant.