We discuss the problem of the classification of static vacuum spacetimes with negative cosmological constant. One of the few known results on the subject is a uniqueness theorem for Kottler solutions with nonpositive mass, proved by Lee and Neves through the employment of a Penrose inequality for asymptotically locally hyperbolic manifolds. We will discuss an alternative more elementary proof of this uniqueness result, which has the added benefit of easily generalizing to degenerate horizons. Time permitting, we will then show how similar techniques can be applied in other frameworks, such as in the study of the positive cosmological constant case.
Stefano Borghini (Milano): Static Black Hole Uniqueness For Nonpositive Mass
Foto: Barbara Mair