Hari K. Kunduri

On the Existence of Toric ALE and ALF Gravitational Instantons

Abstract We establish existence and uniqueness results for asymptotically locally Euclidean (ALE) and asymptotically locally flat (ALF) gravitational instantons. In particular, we prove the existence of a unique, Ricci-flat, toric ALE and ALF gravitational instanton, for every ad...